An object has a position given by r⃗ = [2.0 m + (2.00 m/s)t] i^ + [3.0m−(2.00 m/s2)t2] j^, where all quantities are in SI units. What is the magnitude of the acceleration of the object at time t = 2.00 s?
An object has a position given by , where all quantities are in SI units. What is the magnitude of the acceleration of the object at time = 2.00 s?
A-2.00 m/s2
B-3.20 m/s2
C-4.80 m/s2
D-0.00 m/s2
E-4.00 m/s2
Expert An

Answers

Answer 1

The magnitude of the acceleration of the object at t = 2.00 s is 4.00 m/s².

What is the magnitude of the object's acceleration at t = 2.00 s?

To find the magnitude of the acceleration at a specific time, we need to differentiate the position vector twice with respect to time. Given the position vector[tex]r⃗ = [2.0 m + (2.00 m/s)t] i^ + [3.0m−(2.00 m/s²)t²] j^[/tex], we can calculate the acceleration by taking the second derivative with respect to time.

Taking the first derivative of the position vector [tex]r⃗[/tex] with respect to time, we find the velocity vector[tex]v⃗ = [2.00 m/s] i^ - [4.00 m/s²t] j^.[/tex]

Next, taking the second derivative of the position vector [tex]r⃗[/tex] with respect to time, we obtain the acceleration vector [tex]a⃗ = - [4.00 m/s²] j^.[/tex]

At t = 2.00 s, the acceleration vector becomes[tex]a⃗ = - [4.00 m/s²] j^.[/tex]

The magnitude of the acceleration is the absolute value of its scalar component, which is[tex]|a⃗| = |-4.00 m/s²| = 4.00 m/s².[/tex]

Therefore, the magnitude of the acceleration of the object at t = 2.00 s is 4.00 m/s².

Learn more about kinematics

brainly.com/question/28037202

#SPJ11


Related Questions

There is a scale with a basket on it. A brick, brick #1 is placed on the scale. The brick has a mass of 10 kg. If the brick is not moving on the scale, are the forces balanced or unbalanced?

Answers

Answer:

The forces are balanced

Explanation:

Since the brick is not moving on the scale, it means that the forces are balanced. An unbalanced force would only be present if there is motion of the brick. So, since the brick does not move, the net force on it is zero. Thus, the forces on it are balanced.

House current is 120 volts. If a light bulb runs a current of 0.5 amps, what the resistance of the bulb? (Please please help!)

Answers

Resistance  =  (voltage) divided by (current)

                                              =  (120 V)  /  (0.5 Amp)

                                              =          240 ohms .

A 6000 kg African elephant walks 13 meter
around the park. Determine the acceleration of
an African elephant in m/s2 if it has a work
done of 500J.

Answers

It is 18 because 500j

Please help, I’ll give brainliest!

Answers

Answer:

According to Figure 3, to purchase and install a wind turbine costs $50,000, while to purchase and install a hyrdroelectric generator costs $20,000. The hyrdroelectric generator is relatively cheaper compared to the wind turbine. While the hydroelectric generator is cheaper, it only produces 8 kilowatts of constant power output, and, on the other hand, the wind turbine produces an average of 10 kilowatts of power output. The hydroelectric generator processes constant power output, while the wind turbine processes varying power outputs, with an average of 10 kilowatts.

Answer:

wind turbines r better than hydroelectric generators

Explanation:

Three identical resistors have an equivalent resistance 15.6 ohm when they are connected in series. What is the resistance for each resistor

Answers

Answer:

5.2 Ω.

Explanation:

What is the resistance for each resistor

Since the resistors are connected in series and each have resistance R, and their equivalent resistance is R' = 15.6 Ω.

Since they are connected in series, R' = R₁ + R₂ + R₃

Since R₁ = R₂ = R₃ = R

R' = R + R + R = 3R

R' = 3R

R = R'/3

R =  15.6 Ω/3

R =  5.2 Ω

So, the resistance of each resistor is 5.2 Ω.

what is conduction, and does it occurs only in solids?

Answers

Conduction is the transfer of heat without the actual motion of molecules and it takes place only in solids.

MARK ME BRAINLIST

the process by which heat or electricity is directly transmitted through a substance when there is a difference of temperature or of electrical potential between adjoining regions, without movement of the material.

Conduction takes place in solids, liquids and gases

An airplane is flying at 80 kilometers per hour when a strong tail wind, traveling in the same direction at 5 kilometers per hour, hits the airplane. How can the net force acting on the airplane be calculated?


A. add the forces
B. subtract the forces
C. multiply the forces
D. divide the forces

Answers

Answer:

A.add the forces

Explanation:

since they're both going in the same direction then they should be added to get the total net force.

pls mark me brainliest

The net force acting on the airplane if, An airplane is flying at 80 kilometers per hour when a strong tailwind, traveling in the same direction at 5 kilometers per hour is 85 km/hr so, option A is correct.

What is force?

Force is the influence of either pull or pushes in the body. Basically, gravitation forces, nuclear forces, and friction forces are the types of forces.

For e.g. when the wall is hit by a hand then a force is exerted by the hand on the wall as well as the wall also exerts a force on the hand. There are different laws given to Newton to understand force.

Given:

An airplane is flying at 80 kilometers per hour when a strong tailwind, traveling in the same direction at 5 kilometers per hour,

Calculate the net force acting on the airplane as shown below,

The net force acting on the airplane = The velocity of the airplane + velocity of the wind  (As they both are in the same direction)

The net force acting on the airplane = 80 km / hr + 5 km / hr

The net force acting on the airplane = 85 km / hr

Thus, the net force acting on the airplane is added.

To know more about Force:

https://brainly.com/question/13191643

#SPJ2

Please define newtons 1st law of motion.

Answers

It says an object will remain at rest unless external forces act upon it.

Explanation:

Newton's first law states that, if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

. ___________ The heat and light move from the core into this layer.

Answers

[tex]\huge{ \star \fcolorbox{magenta}{purple}{ \fcolorbox{magenta}{blue}{ \fcolorbox{magenta}{pink}{ \fcolorbox{magenta}{red}{ \sf{photosphere}}}}}} \star[/tex]

Answer:

PHOTOSPHERE

Explanation:

HOPE IT HELPS YOU

Which object has the most kinetic energy? A. Object 1 B. Object 2 C. Object 3 D. Object 4

Answers

Answer:

the answer is A because it has the least number but high in energy

The power generated by the engine was just 2.984 KW. How long would this engine have to run to produce 3.60 × 104 J of work?

Answers

1 watt = 1 joule/second

1 KW = 1,000 joule/second

Work = (power) x (time)

3.6 x 10⁴ J = (2,984 joules/second) x (time)

time = (3.6 x 10⁴J) / (2,984 J/s)

time = (36,000J) / (2,984 J/s)

time = 12.06 seconds

pls help i’ll give brainliest if you give a correct answer!!

Answers

Answer:

B

Explanation:

︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎  ︎ ︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎  ︎ ︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎  ︎ ︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎  ︎ ︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎  ︎ ︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎  ︎ ︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎  ︎ ︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎  ︎ ︎ ︎ ︎

Neon has 10 electrons; two in the inner level and 8 in its outermost level. Will neon form bonds with other atoms?​

Answers

Answer:

no

Explanation:

this is because its valency shell is full so it wont want any other electrons in its valence shell.

Explain how the readings on both meters change when the environmental conditions change.

Help please :'0

Answers

Answer:

* Temperature changes

* Changes in the tension

* Errors in the meter marks

Explanation:

When we are using several meters to make a measurement we have several aspects that can cause the readings to differ.

* Temperature changes make the dilation between readings different, at higher temperatures the material of the meter expands and the reading decreases.

* Changes in the tension with which the meter is pulled to keep it straight, in general all materials bend under the action of gravity, so you have to pull them to make them straight, if the forces are different from the material is lengthened decide Young's modulus, inducing different readings

* Errors in the meter marks, especially in the initial part that is covered by a hook, different positions of the hook change the readings.

* Structural problems, such as rust, bends that create changes in the length of the meter material.

A force of 450 N moves a body through 300 cm in the direction of force. Calculate the work
done by the force.

Answers

Answer:

150J

Explanation:

Formula : Work done

Force x distance

work done = force x distance

Distance should be measured in meters

300÷100=3m

work done = 450 x 3

=150J

If you use a hair dryer, what type of electrical transformation is this?
{blank] energy to [blank] energy

Answers

Answer:

I think it electrical energy to kinetic energy

pls help i’ll give brainliest if you give a correct answer!!

Answers

Answer:

the applied force is greater than the force of friction

Explanation:

pls give brainliest it makes me feel smart

Answer:

hi!

Explanation:

The answer is option b.

A box can definitely not move on it's own unless an external force is applied i.e muscular force. If the applied force would have been less than the force of friction then the box would have never displaced. But, since the box is able to move, we can imply that, the applied force is greater than the frictonal force leading in the displacement of the box.

i will give Brainliest
How do pool players use Physics to make the balls on the pool table go where they want to?

Answers

Answer:

hi my Friend

check in this link https://youtu.be/ErFP7VmNbGk

Explanation:

Lithium (Li) has a charge of +1, and oxygen (O) has a charge of –2. Which is the chemical formula? LiO2 LiO Li2O Li2O2

Answers

Answer:

The results is                  Li₂O

Explanation:

n a chemical reaction, the electron miner in the formula must be balanced, that is, the number of positive and negative charges is the same

In this case, oxygen has a valence of -2 that is, it can give two electrons and lithium has a valence of +1, therefore two lithium atoms are needed for the charges to be neutral, therefore the chemical formula is

The results is                  Li₂O

Answer:

Li2O

Explanation:

just took the test on edge

What does the force between electric charges depend on

Answers

Answer:

Electric force and the inverse square law

Both forces act along the line joining the objects (masses or charges). Both forces are inversely proportional to the square of the distance between the objects, this is known as the inverse-square law.

2.2 State the dependent variable.

Answers

Answer:

The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable. An example of a dependent variable is depression symptoms, which depends on the independent variable

Explanation:

I HOPE FOR A GOOD RESPONSE

HAVE A NICE DAY

Gamma rays have the shortest wavelength. True or False

Answers

Answer:true

Explanation:

Answer:

true it is trueeeeee :)))))

Calcule how long it takes a sound wave to travel trough 1.0km of water at 0C

Answers

Answer:

Explanation:

25.0 m/s

Answers: 25.0 m/s
Speed in the water is much faster than in air, the distance that sound waves travel is primarily dependent upon ocean temperature and pressure. While pressure continues to increase as ocean depth increases, the temperature of the ocean only decreases up to a certain point, after which it remains relatively stable.

If a lion drags his prey 10 meters to his den doing 500 joules of work, how much
force did he use?

Answers

Answer:

I think it's 5000N

Explanation:

You use the formula F=a.m, so m=10 meters, a=500 joules. F=10x500=5000N

Give Ideas to create hearing instruments to fix hearing problems in space, as you know sound waves can’t travel through empty space.

Answers

hearing test provides an evaluation of the sensitivity of a person's sense of hearing and is most often performed by an audiologist using an audiometer. An audiometer is used to determine a person's hearing sensitivity at different frequencies.

According to Newton’s law of universal gravitation, as the mass or one or both bodies increases, what happens to the force of attraction between the bodies?

force decreases

causes no change

force increases

Answers

Answer:

force increases

Explanation:

Newton's law of universal gravitation states that the force of attraction (gravity) acting between the Earth and all physical objects is directly proportional to the Earth's mass, directly proportional to the physical object's mass and inversely proportional to the square of the distance separating the Earth's center and that physical object.

According to Newton’s law of universal gravitation, as the mass or one or both bodies increases, the force of attraction between the bodies increases.

Mathematically, this is given by the Newton's Second Law of Motion;

Force = mass * acceleration.

A wave along a guitar string has a frequency of 540 Hz and a wavelength of 2.5 meters. What is the speed of the wave?

Answers

I believe this is the answer try it out

Sam, whose mass is 60 Kg, is riding on a 5.0 kg sled initially traveling at 8.0 m/s. He
brings the sled to a stop in 4.0 seconds. What amount of force is applied to the sled in
bringing it to a stop?

Answers

Answer:  130 newtons

===============================================================

Explanation:

We'll need the acceleration first.

The initial speed (let's call that Vi) is 8.0 m/sThe final speed (Vf) is 0 m/s since Sam comes to a complete stop at the end.This happens over a duration of t = 4.0 seconds

The acceleration is equal to the change in speed over change in time

a = acceleration

a = (change in speed)/(change in time)

a = (Vf - Vi)/(4 seconds)

a = (0 - 8.0)/4

a = -8/4

a = -2

The acceleration is -2 m/s^2, meaning that Sam slows down by 2 m/s every second. Negative accelerations are often associated with slowing down. The term "deceleration" can be used here.

Here's a further break down of Sam's speeds at the four points of interest

At 0 seconds, he's going 8 m/sAt the 1 second mark, he's slowing down to 8-2 = 6 m/sAt the 2 second mark, he's now at 6-2 = 4 m/sAt the 3 second mark, he's at 4-2 = 2 m/sFinally, at the 4 second mark, he's at 2-2 = 0 m/s

Next, we'll apply Newton's Second Law of motion

F = m*a

where,

F = force appliedm = massa = acceleration

We just found the acceleration, and the mass is fairly easy as all we need to do is add Sam's mass with the sled's mass to get 60+5.0 = 65 kg

So the force applied must be:

F = m*a

F = 65*(-2)

F = -130 newtons

This force is negative to indicate it's pushing against the sled's momentum to slow Sam down.

The magnitude of this force is |F| = |-130| = 130 newtons

Coulomb's Law says that the forces between any two charges depends ___________.

Question 7 options:
A. Directly on the size of the charges
B. Inversely on the square of the distance between the charges
C. Directly on the square of the distance between the charges
D. A&B
E. A/C

Answers

A
Hope this helps!!!!!!

Coulomb's Law says that the forces between any two charges depends directly on the size of the charges and inversely on the square of the distance between the charges. The correct option is D. A & B

Coulomb's law

From the question, we are to determine the correct option.

First, we will state Coulomb's law.

Coulomb's law states that the electrical force between two charged objects is directly proportional to the product of the quantity of charge on the objects and inversely proportional to the square of the separation distance between the two objects

That is,

[tex]F \propto \frac{Q_{1} Q_{2} }{r^{2} } [/tex]

Where F is the electrical force

[tex]Q_{1} \ and \ Q_{2}[/tex] are the charges

r is the distance between the objects

From the law, we can observe that the forces depends directly on the size of the charges - Option A

and the forces also depends inversely on the square of the distance between the charges - Option B

Hence, the correct option is D. A & B

Learn more on Coulomb's law here: https://brainly.com/question/16033085

HOW does phenomenon/event IMPACTS or INFLUENCES the population and/or environment of the surrounding area

Answers

Answer:

Kindly check explanation

Explanation:

Our environment consists of various materials, structures and resources which are so naturally interrelated, the survival of a certain species depends on the wellbeing of the other. This could be buttressed from the definition of environment which simply means the entirety of factors, naturally occurring phenomenon around us. The pollution of the air affects the oxygen we breathe in due to contamination ad thus affects the health of those who Live within the affected area. Change in climatic condition, vegetation and other phenomenon will always affect the environment since the environment itself isn't just humans being but the entirety of conditions both natural occurring and others which keeps the live and the world in existence.

Other Questions
s2t-10if s = -8 andT= 3/4 please show how you got the answer please help fast!!Type the correct form of the verbs. Include pronouns when necessary. 1. Los abuelos (dormirse) en Six Flags. 2. No me gusta (despertarse) temprano los sbados y los domingos. On coordinate plane point located at (- 1, - 2) and point K located at (8, 10) What is the distance, in units from point to point Carly purchased pints of ice cream for a party. If each guest will be served exactlypint of ice cream, what is the greatest number of guests that Carly can serve? Internet Is Heroes Window 1How many cubes with side lengths of3cm does it take to fill the prism?CONcmcolncm1 cm what is pseudopodia? Find the slope of any line parallel to the line through the given points (3,2),(3,1) Find the perimeter of a rectangle whose length is 25cm and breadth is 18 cm Ana kicks a stationary 0.2kg soccer ball. The ball leaves her foot at a speed of 20 m/s. A.What impulse was delivered to the ball? B. The ball experience 40N of force during the kick. How long were the ball and foot in contact? Question Help$11.3.IP-8John is knitting a blanket. He records the length he knits each day. How many more inches doesJohn need to knit so the blanket is 54 inches? y= 5x - 7-3x - 2y = -12Solve each system of equations using the substitution method Give the solution in (x,y) form There are 285 sixth graders going on a class trip to the museum.each bus can hold 25 students. How many buses will be needed to transport all the students? Will all the buses be fuller? If not how many students will be on the last bus.the buses be filled? If not, how many stuc Find the derivative of x Songs really do hit different when you understand what they are talking about When I...square my number ...add three ...divide by two andadd oneI get seven.My number is: write narrative essay about any imaginary story (short story). Which of the following answers is NOT correct with regard to convection currents?A. Convection currents in magma drive plate tectonics.B.Convection currents in magma are a result of density differences.C. Convection currents play a role in the movement of Earths inner core.D. Convection currents in magma are caused by temperature differences. hiii please help ill give brainliest if you give a correct answer :) What are three countries that were connected along the silk road trade network in 200 BCE?