A finch rides on the back of a Galapagos tortoise, which walks at the stately pace of 0.060 m/s. After 72 seconds the finch tires of the tortoise’s slow pace, and takes flight in the same direction for another 72 seconds at 12 m/s. What was the average speed of the finch for this 144-second interval?

Answers

Answer 1

Answer:

The average speed of the finch is: 6.03 m/s

Explanation:

Recall that the average value of a function in a given interval is defined as the integral of the function (area under the curve the function describes) in that interval, divided by the length of the interval.

In this case, the function that describes the speed of the finch (in the vertical axis) as a function of time (in the horizontal axis), is a piecewise function that consists of two horizontal lines (one at y = 0.06 between 0 and 72 seconds in the horizontal axis, and the other one at y = 12 between 72 and 144 in the horizontal axis).

The area of such function is simply the addition of the areas of two rectangles, both of the same width (72 seconds) but of different heights (one 0.06 m/s and the other one 12 m/s)

Then these areas add up to give:

0.06 * 72 + 12 * 72 = 868.32 m

When we divide this by the length of the interval of integration (144 seconds) to calculate the average speed, we get:

average speed = 868.32/144 = 6.03 m/s


Related Questions

1.
Newton's laws refer to a particle and relate the forces acting on the particle with its acceleration are
(True/False)

Answers

Answer:

true

Explanation:

Newton is the measure of the force with turns to be gravity multiplying the mass. Thus, the forces acts on the particles in the direction of the movement of the particles

2. The ant then travels from the 80.00 cm mark to the 10.00 cm mark. What is the
ant's total distance & displacement?

Answers

Answer:

The total distance traveled is 28 inches.

The displacement is 2 inches to the east.

 I hope this helps :)

An atom of an element X has one more shell of electrons than an atom of berylium but it has one less valence electron thatn berylium which element is X

Answers

Answer:

Sodium

Explanation:

Sodium in period 3 has three electron shells. Recall that the period to which an element belongs shows the number of electron shells present in each atom of the element.

Beryllium is in period two, hence it possesses only two electron shells. However, beryllium is a member of group two hence it has two valence electrons in its outermost shell.

Sodium on the other hand has only one electron in its outermost shell since it is a member of group one. Hence the element must be sodium.

how far above the surface of the earth do you need for g to be reduced to a third of its value on the surface of the earth?

Answers

Answer:

the surface this works out to 9.8 m/s squared.

Below are steps of a work out from warm up steps through the cool down. Place steps in order from 1 being the first thing to do when starting a session to 5 being the last part. Question 1 options: 2 Static stretches held for 10 seconds each stretch to loosen up. 1 Light jog to get heart rate up for about 5 minutes. 4 Activity specific drills such as high knees, butt kicks, skipping, grapevines. 5 15-45 minute exercise or sport activity. 3 Walk to bring heart rate down, followed by stretches held for as long as 30 seconds.

Answers

Answer:

1: Light jog to get heart rate up for about 5 minutes

2: Static stretches held for 10 seconds each stretch to loosen up.

3: Activity specific drills such as high knees, butt kicks, skipping, grapevines.

4: 15-45 minute exercise or sport activity.

5: Walk to bring heart rate down, followed by stretches held for as long as 30 seconds.

Warming up and cooling down are essential steps to a good exercise routine. However, it is important to know the correct moment where each of these activities should be performed.

Based on this, we can consider that the correct steps are:

Light jog to get heart rate up for about 5 minutes Static stretches held for 10 seconds each stretch to loosen up. Activity specific drills such as high knees, butt kicks, skipping, grapevines. 15-45 minute exercise or sport activity. Walk to bring heart rate down, followed by stretches held for as long as 30 seconds.

With that in mind, we can conceptualize Warming Up and Cooling Down as follows:

Warming Up: Prepares the body for the exercise that will start, allowing the intensity of the exercise to be gradually increased. This allows for good physical stamina and a gradual increase in heart rate.

Cooling down: Allows a gradual relaxation, while physical activity loses intensity and the body prepares to stop exercising. In addition, relaxation allows the body to eliminate lactic acid from the musculature, which has accumulated during exercise. This prevents the existence of cramps.

Thus, we can conclude that warming up and cooling down is essential for a good physical exercise routine, as it allows for the optimization of exercise and prevents injuries to the body.

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1.) Will an objects
motion change if the net
force on the object is
2N? Why or Why not?

Answers

Explanation:

Yes, because the object will move to the right

Answer:

Explanation:

Sometimes.

Sometimes not.

If the surface is frictionless,  and the mass is 5 kg and the object is on a table, then likely 2 N will be enough to get it going.

If the object is on a table that needs a sandpaper/stain finish, then likely the 5 kg object will not overcome the rough surface of the table and there will likely not be any motion.

If the force is 2N and the object is on a frictionless surface and the object is a 1000kg mass, there might be motion but inertia would certainly be hard to overcome and I doubt there would be motion on planet earth.

2N is just not a very big force.

which of the following calculations is equal to 1?

Answers

Answer:

we need to see the answers but probably 1 or -1

Please help anyone ASAP You can listen to your friend round a corner, but you cannot watch him/her .Why? Related to sound

Answers

Answer:

The sound waves have larger wavelength than light waves. These are diffracted by the corner of wall and light waves cannot do so, due to their very small wavelength (as compared with size of wall corner). So, without seeing the friends his/her voice can be heard.

The sound wave has a longer wavelength as compared to light waves and due to diffraction the sound wave reaches your friend around a corner, but the light wave can't.

What is sound?

Sound is a mechanical disturbance that travels through an elastic medium and disrupts an equilibrium condition. It is also feasible to define sound solely subjectively, as that which is perceived by the ear.

Although this definition lacks clarity and is overly pedantic because it is necessary to discuss noises that cannot be heard by the human ear, such as those made by dog whistles or sonar devices.

Compared to light waves, sound waves have a longer wavelength. Since light waves have a very short wavelength, they cannot be diffracted by a corner of a wall (as compared with the size of wall corner). He or she can therefore be heard even when the friends are not seen.

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A light source radiates 60.0 W of single-wavelength sinusoidal light uniformly in all directions. Find the amplitude of the electric field of this light at a distance of 0.400 m from the bulb

Answers

Answer:

E = 149.92 N/C

Explanation:

Given that,

The power emitted by a sinusoidal light is 60 W

Intensity is equal to the power per unit area. It can be given by :

[tex]I=\dfrac{P}{4\pi r^2}\\\\I=\dfrac{60}{4\pi \times (0.4)^2}\\\\I=29.84\ W/m^2[/tex]

The relation between the amplitude of the electric field and the intensity is given by :

[tex]I=\dfrac{E_o^2c \epsilon_o}{2}[/tex]

Here, [tex]E_o[/tex] is the amplitude of the electric field

[tex]E_o=\sqrt{\dfrac{2I}{c\epsilon_o}} \\\\E_o=\sqrt{\dfrac{2\times 29.84}{3\times 10^8\times 8.85\times 10^{-12}}}\\E_o=149.92\ N/C[/tex]

So, the amplitude of the electric field is 149.92 N/C.

A student rolls these four items on the same surface and at the same speed. Which item will have the greatest kinetic energy?

Answers

basketball is the answer

As per the four items given in the question, the speed of each object is the same, then the basketball will have the greatest kinetic energy.

What is kinetic energy?

The force which a moving object has is referred to as kinetic energy in physics. It is defined as the number of effort required to propel a person of a specific mass from still to a specific velocity. Aside from slight fluctuations in speed, your body holds onto the kinetic energy it obtains during acceleration.

When the body slows down from its present level to a condition of rest, the exact same quantity of energy is used.

Formally, kinetic energy is any quantity that has a gradient with respect to time in the Lagrangian of a system.

As per the given information in the question,

As per the given items in the question, the basket ball will have the greatest kinetic energy because the kinetic energy is the product of mass and velocity and the mass of the basketball is greater than compared to the other objects.

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Your question is seems incomplete, probably the complete question is:

If a student rolls a marble, basketball, beach ball, and a table tennis ball on the same surface at the same speed, which will have the greatest kinetic energy?

which solid state component allows a mobile phone to store data even if the battery is removed

Answers

Answer:

The capacitor helps to store data even after the battery is removed

Explanation:

The cell phone is fitted with different types of capacitors, which come in all shapes and sizes. However they come, their main function is to store charges within them, and dissipate these charges when necessary.

This serves a great purpose in the printed circuit boards of phones as they provide the power needed for data to be stored even when the battery of the phone is removed.

A capacitor is a solid-state device because it has no moving part. It just stores charges within its parallel plates for the phone until the power is needed.

A diver is 15m below the surface of a liquid density 1050kg/m3.Calculate the total pressure on the diver given that atmospheric pressure in the region is 70cmHg.(take density of mercury to be 13600kg/m3 and g=10N/kg)

Answers

Answer:

Explanation:

pressure due to fluid  column = hdg where h is height of column , d is density of fluid , g is acceleration due to gravity .

Total pressure on the diver = atmospheric pressure + pressure due to water

= .70 x 13600 x 10 + 15 x 1050 x 10  

= 95200 + 157500

= 252700 Pa

= 2.527 x 10⁵ Pa .

Define ratio to show its scientific meaning. Then use it in a

sentence as a noun.

Answers

Answer:

Ratio is used as a means of comparison of two or more subjects. It contain two or more digits which gives more information on the number of times an amount of number or times can be derived from the other/others.

An example of a ratio is 5:4 , 2:3 etc.

A ratio is also known as a noun and it can be used in sentences as follows:

The ratio of males to females in the school is five to eight. This can be translated as 5:8 in terms of mathematical expression.

A boy rolls a toy car across a floor with a velocity of 3.21 m/s. How long does it take the car to travel a distance of 4.50 m?

Answers

Answer:

Time taken for the car to travel a distance of 4.50 m = 1.40 seconds

Explanation:

velocity of toy car = 3.21 m/s

distance travelled by toy car = 4.50 m

Time = ?

[tex]Velocity = \frac{Distance}{Time} \\Time =\frac{Distance}{Velocity}[/tex]

[tex]Time = \frac{4.50}{3.21} \\Time = 1.40s[/tex]

Therefore, the time taken for the car to travel a distance of 4.50 m = 1.40 seconds

A car has an acceleration of -5 m/s^2. Describe the car’s motion

Answers

Explanation:

because the acceleration is negative, this indicates a deceleration (or slowing down) . Hence we can say that:

The car is decelerating (slowing down), i.e its velocity is decreasing, at a constant rate of 5m/s².

PLEASE HEP FAST PLEASE!!!!! IM SO SCARED!!!! An elevator has the mass of 3 tons of power needed to raise the elevator 50m in 15 s?

Answers

Answer:

Mass=3,height=50 and time=15,g=10,P=?

P=mgh/t....which is 3×10×50=1500/15=100Watts

Answer:

[tex]\huge \boxed{\mathrm{100 \ Watts}}[/tex]

Explanation:

[tex]\sf \displaystyle P=\frac{mgh }{t} \\\\\\ P=power \ (W) \\\\ m=mass \ (kg) \\\\ g=gravity \ acceleration \ (m/s^2) \\\\ h=height \ (m) \\\\ t=time \ taken \ (s)[/tex]

[tex]\sf \displaystyle P=\frac{3 \times 10 \times 50 }{15}[/tex]

[tex]\sf \displaystyle P=\frac{1500 }{15}[/tex]

[tex]\sf \displaystyle P=100[/tex]

Which statement is true about acceleration?
Ο Α.
It is the rate of change of speed per unit time.
B.
It is the rate of change of displacement per unit time.
O C.
It is the rate of change of velocity per unit time.
O D.
It is the rate of change of position per unit time.

Answers

Answer

A

Explanation:

It is the rate of change of speed per unit time

what is the difference between mass and weight and how they are measured

Answers

Answer:

so the differences between both are that the mass is the amount of heaviness in an object or even of you but the weight normally is the mass multiplicated with the gravity of the earth and normally their are measured with this simple formula

M = V . D (mass = volumeby density)

Example

Volume = 3.000 cm³

Density  = 3.52 g/cm³

M = 3.000 . 3,52 = 10.560 g

Then you have the weight

To have the result you have to multiplicate the mass and the gravity acceleration

Answer:

Mass is the amount of matter in an object. Mass is often measured in kilograms or grams. The masses of two objects are compared using a balance. Weight is the downward pull on an object due to gravity. Weight is often measured in newtons or pounds, using a spring scale.

Explanation:

Just got it right edg. 2020

A hockey puck moves 26 meters northward, then 12 meters southward, and finally 6 meters northward what is the distance and the displacement? PLEASE HELP MEEE

Answers

Answer:

The displacement is 20 m northward.

The distance is 44 m

Explanation:

Let northward motion be in positive direction

Let southward motion be in negative direction

Dispalcement is the shortest path covered by the hockey puck at a specified direction.

The dispalcement of the hockey puck will be calculated as;

Displacement = 26 m northward - 12m southward + 6 m northward

Displacement =  20 m in northward direction

Distance is the total path covered by the hockey puck.

Distance = 26 m + 12m + 6 m

Distance = 44 m

Answer:

The displacement is 20 m northward.

The distance is 44 m

Explanation:

10 POINTS! FIRST TO ANSWER ****CORRECTLY**** GETS BRAINLIEST!

The state of California experiences periodic occurrences of higher than average precipitation. This causes flooding due to heavy rainfall.
Which weather phenomenon most likely causes this and why?
A. La Niña, because of weakening of trade winds
B. El Niño, because of weakening of trade winds
C. El Niño, because of strengthening of trade winds
D. La Niña, because of strengthening of trade winds

Answers

Answer:

The answer choice is C because La Nina Is the cooled part of the sea while El Nino is the warmed part of the sea.

Explanation:

You don't need to thank me... : )

Ceiling-suspended paddle fans must not be located within a zone measured ____ horizontally and ____ vertically from the top of the bathtub rim or top of a shower stall threshold.

Answers

The answer should be 3ft (900 mm) horizontally and 8ft (2.5 m) vertically

A plastic bottle partially filled with water floats on water, even though the density of the plastic (1.2 g/cc) is more than that of water. Why is that?

Answers

Answer:

True the plastic will float because of the principle of flotation or buoyancy

Explanation:

Buoyancy explains it all!!

Buoyancy  is the upward force/upthrust experienced by a body immersed totally or partially in a liquid.

According to the principle of flotation:

"when a body is totally or partially immersed in liquid it experiences an upthrust which is equal to the volume of fluid displaced"

The plastic will float due to the fact the average density of the total volume of the plastic and the air inside it is less than the same volume of water it is floating in

When the north pole of a magnet is moved towards the center of a loop of wire containing a galvanometer, the needle of the galvanometer flicks to the right. What would also cause the needle on the galvanometer to move to the right?

Answers

Answer:

Moving the magnet away from the center of the loop with its south pole facing the center of the loop.

Explanation:

Electromagnetic induction is due to a rapidly changing magnetic field, or loop area. The poles of the magnet induce current in the loop but in the opposite direction, depending on the direction of their relative motion. An approaching north pole will induce an anticlockwise current in the loop, while an approaching south pole will do the reverse. To get the galvanometer to flicker in the same direction as of that when the north pole was approaching, we move the magnet away from the center of the loop with its south pole facing the center of the loop.

To protect her new two-wheeler, Iroda Bike
buys a length of chain. She finds that its
linear density is 0.83 lb/ft.
If she wants to keep its weight below 1.4 lb,
what length of chain is she allowed?
Answer in units of ft.

Answers

Answer:

The length of chain she is allowed is 1.169 ft

Explanation:

The given parameters are;

The linear density of the chain = 0.83 lb/ft

The weight limit of the chain she wants = 1.4 lb

The formula for linear density = Weight/length

Therefore, in order to keep the chain below 1.4 lb, we have;

Linear density = Weight/length

Therefore;

The maximum length she wants = Weight/(Linear density)

Which gives;

The maximum length she wants = 1.4 lb/(0.83 lb/ft) =1.169 ft

Therefore;

The length of chain she is allowed = 1.169 ft.

The bottle's mass is 0.2 kg. The diameter of its base is 10cm. How much pressure does the bottle exert on the table? A) 64 Pa B) 25 Pa C) 6.4 Pa D) 255 Pa

Answers

Answer:

D) 255pa

Explanation:

pressure= force/area

force = weight

weight= mass* gravitational acceleration

weight= 0.2kg*10m/s²

weight= 2N

area= πr² where r=1/2diameter

r=1/2diameter

r=1/2(10cm)

r=5cm or 0.05m

area= πr². where π 's approximate value is 3.14

area=3.14(0.05m)²

area=3.14 * 0.0025m²

area=0.00785m²

pressure= force/area

pressure=2N/0.00785m²

pressure=255pa approximately

Answer:

d 255 Pa

Explanation:

An automobile travels on a straight road for 55 km at 20 km/h. It then continues in the same direction for another 60 km at 55 km/h. What is the average velocity (km/h) of the car during the full 115 km trip

Answers

Given :

Speed of automobile for first 55 km , [tex]v_1=20\ km/h[/tex] .

Speed of automobile for first 60 km , [tex]v_2=55\ km/h[/tex] .

To Find :

Average velocity of the full trip .

Solution :

We know , average velocity is given by :

[tex]v_{avg}=\dfrac{\text{Total distance covered}}{\text{Total time taken }}[/tex]

Now , time is given by :

[tex]T=\dfrac{D}{v}[/tex]

So ,

[tex]v_{avg}=\dfrac{55+60}{\dfrac{55}{20}+\dfrac{60}{55}}\\\\v_{avg}=29.94\ km/h[/tex]

Therefore , the average velocity (km/h) of the car during the full 115 km trip is 29.94 km/h .

Hence , this is the required solution .

A box with a mass of 15 kg is pushed with a net force of 180 N. What magnitude of
acceleration will the box experience?

Answers

Answer:

  a = 12 m / s²

Explanation:

Let's apply Newton's second law

             F = m a

where F is the force, m the mass of the body and the acceleration

             

we clear

            a = F / m

             

let's calculate

           a = 180/15

           a = 12 m / s²

this acceleration has the same direction of the force

The reed switch is placed between the poles of the strong permanent magnet.
State and explain what happens.

Answers

Answer:

he switch is open when the magnetic field is activated, a magnetic force is applied to the reed, which causes it to move, closing the circuit and allowing the lock to open.

Explanation:

The reed switches, this is metallic, generally iron, in general the switch is open when the magnetic field is activated, a magnetic force is applied to the reed, which causes it to move, closing the circuit and allowing the lock to open.

The force is given by

                 F = i l x B

In the systems when the switch is depressed the magnetic field is created in a solenoid and this field attracts the metal of the reed.

Monochromatic light falls on a screen 1.60 m from two slits separated by 2.11 mm. The first- and second-order bright fringes are separated by 0.550 mm. What is the wavelength of the light?

Answers

Answer:

725 x10^-9m

Explanation:

We know that the optical path difference is (ax)/D

Where

a=2.11mm

D=1.60m

x= position on the screen

the optical path differences varies of lambda = wavelength

That is BTW two bright fringes

So therefore

x2-x1=lambda x D/a

lambda = ( x2 - x1) x a/D = 0.55 x 10^-3 x 2.11E-3 / 1.60 = 725nm

If friction is ignored and the ball is dropped, it experiences a gain in ____ and a decrease in ___. Question 8 options: kinetic energy; potential energy potential energy; kinetic energy thermal energy; potential energy potential energy; thermal energy

Answers

Answer:

My answer is when the ball is going it experience kinetic energy which is the energy of a moving object while when the ball has stopped then it will have potential energy which means it's at rest so for the ball not to experience friction then there is a gain in kinetic energy and decrease in potential energy.

Answer:

Gain in Kinetic energy and decrease in Potential energy.

Explanation:

What is kinetic energy ?

The energy possessed to a body due to its motion is called kinetic energy.

K = [tex]\frac{1}{2} .m.v^{2}[/tex]

What is potential energy ?

The energy possessed to a body due to its position is called potential energy.

[tex]U =mgh[/tex]

As the falls , due to pull of the Earth its velocity increase thus its kinetic energy also increases .As it falls , its height decrease from the Earth thus potential energy decrease.

Hence in free fall , the ball experiences gain in kinetic energy and decrease in potential energy.

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Angelina drew a net of a container in the shape of a triangular pyramid. The base is an isosceles triangle with sides measuring 24 cm, 20 cm, and 20 cm. A triangular pyramid. The base has a base of 24 centimeters and height of 16 centimeters. A side has a base of 24 centimeters and height of 21 centimeters. 2 sides have a base of 20 centimeters and height of 22 centimeters. [Not drawn to scale] Which statement about the area of the pyramid is true? The base area is 384 centimeters squared. The lateral area is 692 centimeters squared. The surface area is 740 centimeters squared The area of each congruent face is 264 centimeters squared. The Ivy Hill Sunshine Club collected 524 cans for a canned food drive. The cans were then split up equally into 8 boxes. How many cans were in each box??? (Hurry please) C= 7/6 (k-17) Solve for k. Jenna decides to purchase a U.S. Treasury Bill for 95,000. The Treasury Bill matures in 180 days for 100,000. Let QR be the quoted rate on this U.S. Treasury Bill. Let j be the annual effective yield on this U.S. Treasury Bill assuming a 365 day year. Calculate jQR. What is the density if the mass of your object is 54.6g and the volume is 15.30 mL? A wedge with a base (x) of 2 ft, height (h2) of 5 ft, and width into the page of 7 ft is holding back water 7ft deep (h1). Determine the weight of the block necessary to prevent the gate from opening. Which of the following regions contains the highest elevation within Oklahoma's borders?A. Ozark plateau B. the Arbuckle MountainsC. the High PlainsD. the Gypsum HillsPlease select the best answer from the choices provided When measuring wellness, you must consider __________. A. all components of health B. your physical fitness being in the top 10% of the population C. being free of diseases D. both physical and mental health Group of answer choices The temperature of a town at 3:00 p.m. was41 C. The temperature recorded at 9:00 p.m.was 29 C. Find the fall in temperature perhour, if the temperature falls at a constant rateper hour. Josh was a mechanic. One day when he attempted to weld a car's gasoline tank, it exploded and he was hurt. He filed to collect workers' compensation. His employer resisted on grounds that Josh had been negligent and had also violated the express regulations of the company when he attempted to weld a gasoline tank. Which statement is correct "According to Gartner Research, the data analytics market has split into two segments: the traditional _____ market and the newer __________ market. " Calculate the volume of a cylindrical container, whose diameter is 24cm and height is 14cm6336632662266126 What are the 4 main components to developing a portfolio 1. Two times the sum of a number and five is 26?2. Eight times a number increased by nine? Lines 111: What imagery does Salak use to communicate the tension she feels at the beginning of her trip? From the book The cruelest Journey Steven is selling a used car that is 10 years old. He found a way to set the odometer back 50,000 miles, making his car appear more valuable than it actually is. A potential buyer looks at the car and is amazed at the low mileage. He asks Steven if anyone has tampered with the odometer. Steven replies, Hey, that would be illegal. No one wants to get caught doing something illegal. What type of misleading statement did Steven make in his reply? What number, c, completes the square? X^2 + 8x + c In the United States, the distribution of the power between levels of government is a product constitution. A.) true b.) false Reflect (4, -6.5) in (a) the x-axis and (b)the y-axis. A grocer wants to make a mixture of three dried fruits. He decides that the ratio of pounds of banana chips to apricots to dates should be 5:2:2. Banana chips cost $1.28/lb, apricots cost $3.00/ln, and dates cost $2.62/lb. What is the cost per pound of the mixture?