A cheetah and a gazelle are grazing in the savannah. The gazelle is 275 meters away from the gazelle safe zone and the cheetah is 455 meters away. If the gazelle can run at 25 m/s and the cheetah can run at 65 m/s will the gazelle get to safety? If not how fast does the gazelle need to run to beat the cheetah by 2 seconds? I​

Answers

Answer 1

Answer:

1) Yes, the gazelle gets to safety

2) The speed with which the gazelle needs to run, to beat the cheater by 2 seconds is approximately 29.79 m/s

Explanation:

1) The distance of the gazelle, from the gazelle safe zone = 275 m

The distance of the cheetah from the gazelle = 455 m

The speed of the gazelle = 25 m/s

The speed of the cheetah = 65 m/s

Therefore, we have;

Let the time the gazelle reaches the safe zone = t, which gives;

t = 275 m/(25 m/s) = 11

t = 11 seconds

Let the time the cheetah reaches the gazelle = t₁, we have;

455 + 25 × t₁ = 65 × t₁

t₁ = 455/40 = 11.375

t₁ = 11.375 seconds

The gazelle reaches the gazelle safe zone before the cheetah reaches the gazelle

Therefore, the gazelle gets to safety

2) In order for the gazelle to beat the gazelle by 2 seconds, we have;

The time for the cheetah to reach the safe zone = (275 + 455)/65 = 11.23 seconds

Therefore, we have;

In order for the gazelle to beat the gazelle by 2 seconds the time the cheetah reaches the safe zone = 11.23 - 2 = 9.23 s

The speed of the gazelle is then 275/9.23 ≈ 29.79 m/s

Answer 2

Answer: d = r · t d + 300cheertah = 18t gazelle = 16t the running times are equal!   (d + 300) / 18 = d / 16   Solve ford then determine time.

sorry if its confusing


Related Questions

What is the power of a crane that does 5.60 kJ of work in 2.80 s?

Answers

Answer:

2000 W

Explanation:

The power of the crane can be found by using the formula

[tex] p = \frac{ \orange{w}}{ \orange{t}} \\ [/tex]

w is the workdone

t is the time taken

From the question we have

[tex]p = \frac{5600}{2.8} \\ [/tex]

We have the final answer as

2000 W

Hope this helps you

Hi thanks to whoever answers thanks! will give brainliest

Answers

The answer to your question is true
True!!!!!!!!!!!!!!!!!!!!!!

NEED HELP ASAP, WILL GIVE BRAINLIEST

Which phrase describes air pressure?

decreases with denser air
decreases as altitude decreases
equals mass divided by volume
decreases as a result of fewer air particles pushing down

Answers

Answer:

decreases with denser air

Answer:

b) decreases as altitude decreases

Explanation:

A 2kg ball is thrown with an acceleration of 15m/s2. A 2kg ball is thrown with an acceleration of 10m/s2. Which ball
will have a greater net force? Calculate the net force of both balls to justify your answer.

Answers

A :-) for this question , we should apply
F = ma
( i ) Given - m = 2 kg
a = 15 m/s^2
Solution :
F = ma
F = 2 x 15
F = 30 N

( ii ) Given - m = 2 kg
a = 10 m/s^2
Solution :
F = ma
F = 2 x 10
F = 20 N

.:. The net force of object ( i ) has greater force compared to object ( ii ) by
( 30 - 20 ) 10 N

A 25 N force is used to push a box across a floor against a frictional force of 14 N. The box accelerates from rest to a speed of 4 m/s in 16 s. What is the mass of the box?​

Answers

todjghozjfh-xjdfg .FExplanation:dthgzdfhsfhfh

dhfhdfhdfhhdffhd

How long does it take for an 8 kg pumpkin to hit the ground if dropped from a height of 55 m.

Answers

Answer:

t = 3.35 s

Explanation:

It is given that,

Mass of a pumpkin, m = 8 kg

It is dropped from a height of 55 m

We need to find the time taken by it to hit the ground.

Initial velocity of the pumpkin, u = 0

Using second equation of motion to find it as follows :

[tex]h=ut+\dfrac{1}{2}at^2\\\\t=\sqrt{\dfrac{2h}{g}} \\\\t=\sqrt{\dfrac{2(55)}{9.8}} \\\\t=3.35\ s[/tex]

So, it will take 3.35 seconds to hit the ground.

If a car has a constant acceleration of 4 m/s², starting from rest, how far has it traveled after 5 seconds?

Answers

Answer:

100 meters

Explanation:

d=at^2 correct? So you plug in acceleration and time. d=(4)(5)^2 which when using pemdas turns out to 100 meters.

please help!!!!!!!!!!

Answers

Answer:

the line b aka the option d

Explanation:

Water is boiled. The resulting steam is blown again huge turbine blades. The turbine blades spin in a magnetic field, producing electricity. The electricity is used to light a lamp. Describe the energy conversions involved.

Answers

Answer:

Explanation:

A turbine is a mechanical device that can be used for the conversion of one form of energy into another.

The boiled water generates thermal energy which is blown against a huge turbine blades. The thermal energy is converted to mechanical energy (which drives the blades of the turbine), and sound energy in the turbine. The spinning blades thereby cut the magnetic field as they rotates inducing electric current (Fleming's left hand rule), thus electrical energy is produced.

The electrical energy is now converted to light energy and heat energy by the lamp.

There is a species of Darwin’s finch on the Galapagos Islands that can exert a force of 205N with its beak as it cracks open a seed case. If its beak moves through a distance of 0.40 cm during this operation, how much work does the finch do to get at the seed inside the case?

Answers

Answer:

0.82 J

Explanation:

We know that work done W = Fd where F = force and d = distance moved in the direction of the force.

Now, the finch on Galapagos Islands exerts a force of 205 N with its beak as it cracks open a seed case. So, F = 205 N. If the beak moves a distance of 0.40 cm during this operation, then d = 0.40 cm = 0.004 m.

We now compute W.

So, W = Fd

= 205 N × 0.004 m

= 0.82 J

So the finch does work of 0.82 J to get at the seed inside the case.

1. What is the wavelength of a sound wave with a frequency of 50 Hz, if the Speed of sound is 343 m/s.

2.A sound wave in a steel rail has a frequency of 620 Hz and a wavelength of 10.5 m. What is the speed of sound in steel?

3.A wave has a frequency of 10 Hz and a wavelength of 30m. What's its speed?

Answers

1.6.86

2.59.04

3.3

Thats the answer I think

What is the momentum of an 18-kg object moving at 0.5m/s

Answers

Answer:

Momentum = 9kgm/s

Explanation:

Given the following data;

Mass = 18kg

Velocity = 0.5m/s

Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.

Mathematically, momentum is given by the formula;

[tex] Momentum = mass * velocity [/tex]

Substituting into the equation, we have;

Momentum = 18 * 0.5

Momentum = 9kgm/s

Therefore, the momentum of the object is 9kgm/s.

(URGENT)

Which describes increasing the efficiency of an energy resource?


A>Making cars that get better gas mileage


B>Using biomass instead of coal


C>Turning off the lights when leaving a room


D>Switching from coal to solar

Answers

Answer:

A Making cars that get better gas mileage

Explanation:

Getting cars that gets better gas mileage are increasing the efficiency of fossil fuels.

Efficiency is the tendency to avoid wastage of resources. When the most value is gotten from a resource, the efficiency is high. A better car engine and other electrical components of the car that reduces the wastage of fuel helps fuel efficiency.

What is the water pressure at a depth of 30m in pascals?

Answers

❤❤❤❤❤❤❤❤❤❤❤❤❤❤

The water pressure at depth h from the water surface is obtained from the following equation.

[tex]Pressure = (density) \times (gravity \: \: acceleration) \times (depth \: \: from \: \: the \: \: water \: \: surface) \\ [/tex]

[tex]density = 1000 \: \: \frac{kg}{ {m}^{3} } [/tex]

[tex]gravity \: \: acceleration = 10 \: \: \frac{m}{ {s}^{2} } [/tex]

[tex]depth \: \: from \: \: the \: \: the \: \: water \: \: surface = 30 \: \: m \\ [/tex]

______________________________________

[tex]P = 1000 \times 10 \times 30[/tex]

[tex]P = 300,000 \: \: pascals[/tex]

❤❤❤❤❤❤❤❤❤❤❤❤❤❤

A 3.0 kg block is pushed 2.0 m at a constant velocity up a vertical wall by a constant force applied at an angle of 28.0. with the horizontal, as shown in the figure.
The acceleration of gravity is 9.81 m/s^2. If the coefficient of kinetic friction between

the block and the wall is 0.40, find

a) the work is done by the force on the block.

Answer in units of J.

b) the work done by gravity on the block.

b) the work done by gravity on the block.

Answers

Answer:

a)  [tex]w_{Fy} = 237.61713[/tex]J

b)  [tex]w_{g}=-58.86[/tex] J

c)  [tex]N=223.44641[/tex]N

Explanation:

Key: theta = θ kinetic friction = μ α = 180°

a) Work of Force put on block

Remember that you need both sides x & y

Equations:

[tex]w_{F}=F_{x} cos[/tex]  |  [tex]w_{F}=F_{y} sin[/tex]θ[tex]_{net} F_{x} =0[/tex]      |  [tex]_{net} F_{y} =0[/tex] [tex]N=Fcos[/tex]θ   | [tex]F_{y} sin[/tex]μ[tex]N-mg=0[/tex]                     |  [tex]F_{y} sin[/tex][tex]F_{y} =\frac{mgd sin(theta)}{sin(theta)-(kinetic friction)cos(theta)}[/tex]-μ[tex]Fcos[/tex]θ[tex]=mg[/tex]                     |[tex]w_{Fy} =Fdsin[/tex]θ                     |  [tex]w_{Fy} =\frac{(3*9.81)sin(28)}{sin(28)-(0.40)cos(28)}[/tex]                     | [tex]w_{Fy} = 237.61713[/tex]J

b) Work of Gravity on block

[tex]w_{g} =F_{g}dcos[/tex]α [tex]w_{g} =mgdcos[/tex]α [tex]w_{g}=(3)(9.81)(2)cos(180)[/tex] [tex]w_{g}=-58.86[/tex]J

c) Magnitud of Normal Force

[tex]F=\frac{mg}{sin(theta)-(kinetic friction)cos(theta)}[/tex][tex]F=\frac{3*9.81}{sin(28)-(0.40)cos(28)}[/tex][tex]F = 253.06871[/tex][tex]N=Fcos[/tex]θ[tex]N=(253.06871)cos(28)[/tex][tex]N=223.44641[/tex]N

Hope it helps

1 kg ball and a 9 kg ball have the same Ex. Compare

their speeds.

Answers

Answer:

The speed of 1 kg ball is 3 times of the speed of 9 kg ball.

Explanation:

It is given that, 1 kg ball and 9 kg ball have the same kinetic energy.

We need to compare their speeds.

The kinetic energy of an object is given by :

[tex]K=\dfrac{1}{2}mv^2[/tex]

Where

m is mass and v is speed

As kinetic energy is same. So,

[tex]m_1v_1^2=m_2v_2^2\\\\\dfrac{v_1^2}{v_2^2}=\dfrac{m_2}{m_1}\\\\\dfrac{v_1^2}{v_2^2}=\dfrac{9}{1}\\\\\dfrac{v_1}{v_2}=\dfrac{3}{1}\\\\v_1=3v_2[/tex]

So, the speed of 1 kg ball is 3 times of the speed of 9kg ball.

If a body is sliding on a inclined plane of angle 30° angle of friction is

Answers

Answer:  don´t know

Explanation:

???????????????????????????????????????????????????????????????

What has occurred when a solid forms out of the mixing of two liquids in a chemical reaction?
O melting
O gas formation
O combustion
O precipitate formation

Answers

Answer:

D is the correct answer

Explanation:

solid is a new substance, and it's called a precipitate.

The precipitate formation is occurred when a solid forms out of mixing two liquids. Hence, precipitate formation is the correct option.

The given problem is based on the chemical reactions and substances formed due to the chemical reactions. The given question says that some solid substance forms out of mixing two liquid substances in a chemical reaction. Now, let us analyze the options:

Melting is the process of conversion of solid substance into liquid substance upon the absorption of heat. Since some solid substance as per the given problem. So clearly melting is not correct option.

The gas formation clearly highlights that some gaseous substance is forming. So despite of formation of solid substance in the problem, the gas formation is not the correct option.

Combustion involves the production of heat and light, which are not under the category of solid substance. Hence, combustion is not the correct option.

Precipitates are the solid substances that are formed in a chemical reaction between the reactants (liquids). Hence, this justifies the given problem and precipitate formation is a correct option.

Thus, we can conclude that precipitate formation is occurred when a solid forms out of mixing two liquids.

Learn more about the precipitate formation here:

https://brainly.com/question/19487269

Imagine you are a water molecule, carbon atom, or nitrogen atom that is inside a cow. Write a brief explanation of how you got from the atmosphere (the air) into the biosphere (the living cow). *

Answers

Answer:

Explanation:

The processes involved in each of the molecules involved are different.

For example, water molecules that have condensed in the atmosphere (in the cloud) return back to the earth through precipitation in the form of rain water. These cows drink these water from various water bodies around them. This is one process in which water molecules move from the atmosphere into the living cow.

In the case of carbon and nitrogen atoms; the air the cow breath in consists of nitrogen, oxygen, carbon dioxide and some other gases. These gas molecules move (from the atmosphere) into the cow through the process of respiration.

can someone help please

Answers

i’m pretty sure you would measure from crest to crest so A and B

Answer the following

Answers

Answer: There is nothing here

Explanation: Could you please add a picture or something


A 20-kg dog on ice skates is accelerating at 2 m/s2. What is the net
force on the dog?

Answers

Answer:

22

Explanation:

Where do we get the matter for us to grow?

Answers

Answer:

We get mater to grow by eating food, drinking water and breathing in oxygen

Explanation:

Growing shows an increase in size or mater of a living organism over time, such that the present state of a living organism has an increased amount of matter or inertia than its previous status.

However, by the law of conservation of mater, the amount of mater in a closed system is constant, therefore, we have that for us to grow, new mater must be ingested, which comes from what we take into our bodies

Therefore, we get mater to grow by eating food, drinking water and breathing in oxygen

What is the difference in degrees
Celsius between the hottest stars and the
coolest stars?

Answers

The hottest starts have high temperatures of 40,000 Kelvins or over, and the coolest starts hav temperatures of about 2000 Kelvins.

hope this helps :)

Pls help! What would be considered an antonym for law of superposition??

Answers

Answer:

do you have any pictures or any answers we can choose from?

Explanation:

This is an incomplete question.

please help!!!!!!!!!!

Answers

Answer:

D

Explanation:

I might be wrong but if I was you i would go with D

What would be the daughter product of the beta decay of lead-212 and what would be the daughter product of the alpha decay of polonium-216?

Answers

Answer:

lead with Z = 82 is transformed into Bismuth with Z = 73

The Po with Z = 84 becomes Pb with Z = 82

Explanation:

Beta decay occurs when a neutron emits an electron and an anti neutrino from the atomic nucleus, therefore the atomic number of the material increases by one unit.

           Pb + e + ν → Bi

lead with Z = 82 is transformed into Bismuth with Z = 73

In alpha decay, a helium nucleus is emitted from the nucleus of the atom, therefore the atomic number decreases by two units.

         Po +α → Pb

The Po with Z = 84 becomes Pb with Z = 82

3. Light travels from the Sun to Earth in 8.3 min. Given that the speed of light is 3.00108 m/s, what is the distance in meters between the Sun and Earth?

Answers

Answer:

13

Explanation:

13.0120481928 it is the distance

The table below describes some processes in which food is changed as it travels through the digestive system.



Which of the processes describe only physical changes in the food particles?

Processes 1, 2, 3, and 4

Processes 1, 3, and 6

Processes 2, 5, and 6

Processes 1, 3, and 4

Answers

Answer:

processes 1,3, and 4

Explanation:

i think

Teeth tear the food, the tongue reforms the food, and the stomach muscles break the food into small pieces are physical changes. Therefore, option (4) is correct.

What is a physical change?

A physical change can take place when the identity of the matter does not but some of the characteristics of the matter change. Physical changes of matter are categorized as reversible and irreversible in nature. For example, the freezing of water is a reversible physical change since the ice cube can melt again.

Physical change can be described as a kind of change where only the physical properties of substances such as solubility, color, odor, etc. can change. During physical changes, no chemical bonds are formed or broken between atoms.

The chemical nature and chemical composition of the matter remain unchanged during a physical change.  

In the digestive system, the breaking of food by teeth, tongue, and stomach muscles is a physical change. The food mixed with acids and broken by enzymes is a chemical change.

Learn more about physical change, here:

brainly.com/question/17931044

#SPJ2

A hot-air balloon is ascending at a rate of 7.5m/s when a passenger drops a camera. If the camera is 27m above the ground when its dropped, how much time does it take for the camera to reach the ground? What is its velocity just before it lands?

Answers

Answer:

v_{f}=21.75[m/s] (velocity just before it lands)

t = 2.98 [s]

Explanation:

The key to solving this problem is the initial velocity since when the camera falls it is moving up, we will take this velocity as negative and the acceleration gravitation down as positive.

We will use the following equation of kinematics to solve this problem.

[tex]V_{f}^{2} =V_{o}^{2}+2*g*y[/tex]

where:

Vf = final velocity [m/s²]

Vo = initial velocity = 7.5 [m/s]

g = gravity acceleration = 9.81 [m/s²]

y = elevation = 27 [m]

[tex]v_{f}^{2} = - (7.5)^{2} +(2*9.81*27)\\ v_{f}^{2} = 473.5\\v_{f}=\sqrt{473.5}\\v_{f}=21.75[m/s][/tex]

Now using the following equation of kinematics, we can calculate the time that the fall lasts.

[tex]v_{f}=v_{o}+g*t[/tex]

[tex]21.75 = -7.5 +9.81*t\\9.81*t = 29.25\\t = 2.98[s][/tex]

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