AP Physics 1 : Linear Motion and Momentum

Study concepts, example questions & explanations for AP Physics 1

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Example Questions

Example Question #321 : Linear Motion And Momentum

An object travels with a velocity  for a period of time . Its velocity is instantaneously changed to a second velocity  at which it travels for a period of time .

What is the correct expression for the object's average velocity during the entire two-part motion?

Possible Answers:

Correct answer:

Explanation:

Average velocity can be found by taking the total distance traveled in the two part motion and dividing by the total time of the two part motion as shown by the equation for velocity:

Where  is velocity,  is displacement, and  is time.

Our average velocity then would be:

While we were not given the displacements for either part, we can solve for them by rearranging the velocity equation:

Substituting for the unknown displacements with equivalent terms comprised of the known velocities and times we find that the average velocity is:

 

Example Question #321 : Linear Motion And Momentum

In the traditional coordinate system, an object is moving downwards and slowing down. 

What is the sign of the object's velocity?

Possible Answers:

It's impossible to tell.

Negative

Positive

Neutral

It depends.

Correct answer:

Negative

Explanation:

In a traditional coordinate system: left and down are considered negative directions while up and right are considered positive directions. The question states that the object is moving down, so regardless of its acceleration, its velocity is negative at the time described.

Example Question #322 : Linear Motion And Momentum

In the traditional coordinate system, an object is moving downwards and slowing down. 

What is the sign of the object's acceleration?

Possible Answers:

It's impossible to tell.

Neutral

It depends.

Positive

Negative

Correct answer:

Positive

Explanation:

In a traditional coordinate system: left and down are considered negative directions while up and right are considered positive directions. Though the object is moving down (a negative direction) it is stated that it is slowing down, which means it is accelerating upwards in a positive direction.

Example Question #323 : Linear Motion And Momentum

In the traditional coordinate system, a car is speeding up while moving to the left.

What is the sign of the car's acceleration?

Possible Answers:

Positive

It depends

Neutral

It's impossible to tell.

Negative

Correct answer:

Negative

Explanation:

In a traditional coordinate system: left and down are considered negative directions while up and right are considered positive directions. Though the car is said to be speeding up, it is speeding up while moving in a negative direction. Therefor, the car's velocity is becoming more and more negative, meaning it has a negative acceleration.

Example Question #324 : Linear Motion And Momentum

For a school exercise, students are tasked with determining an experimental value for Earth's gravitational acceleration. They decide to drop a ball and measure the time it takes until it hits the ground.

Which further measurements do the students need to take to determine an experimental value for Earth's gravitational acceleration without taking extraneous measurements?

Possible Answers:

No further measurements are necessary.

Only the mass of the ball.

The velocity of the ball just before it hits the ground.

Only the height above the ground from which the ball is dropped.

The mass of the ball and the height from which the ball is dropped.

Correct answer:

Only the height above the ground from which the ball is dropped.

Explanation:

With only the drop height and the time we can use the kinematic equation:

We assume the initial velocity is  because the ball is dropped, plug in the height for , the time from drop to hitting the ground for , and then the only unknown variable is  which will be the experimental value Earth's gravitational acceleration.

Example Question #325 : Linear Motion And Momentum

A feather is released from rest on a moon with no atmosphere. The object drops  in the first second.

What is the magnitude of the acceleration due to gravity on this moon?

Possible Answers:

Correct answer:

Explanation:

We use the kinematic equation:

Plugging in  for  for  because it was dropped from rest, and  for  we have:

Example Question #326 : Linear Motion And Momentum

A penny is dropped from the top of the Eiffel Tower. After falling uninterrupted for , the penny is a distance  from where it was dropped.

Assuming a constant gravitational acceleration, how far below the top of the Eiffel Tower is the penny after falling for a total of ?

Possible Answers:

Correct answer:

Explanation:

In the kinematic equation:

When the first term right of the equals sign goes to zero because the penny was dropped from rest, we see that the distance in a constant acceleration  is related to the time of acceleration  via:

because the fraction and acceleration are constant.

So when  is tripled from  to  (), the distance increases ninefold ()

Example Question #324 : Linear Motion And Momentum

A bullet is fired horizontally simultaneously with a ball being dropped from the same height.

Assuming uninterrupted paths for both objects, how do the times it takes them to hit the ground compare?

Possible Answers:

There is not enough information to tell.

The ball hits the ground first.

The bullet hits the ground first.

The times for both objects to hit the ground are equal.

The ball hits the ground in half the time it takes the bullet to hit the ground.

Correct answer:

The times for both objects to hit the ground are equal.

Explanation:

Horizontal velocity does not affect gravity's force on an object so both the bullet and the ball are accelerated downward at the same gravitational acceleration and they will hit the ground at the same time.

Example Question #325 : Linear Motion And Momentum

In the traditional coordinate system, a car is speeding up while moving to the left.

What is the sign of the car's velocity?

Possible Answers:

It depends.

It's impossible to tell.

Negative

Neutral

Positive

Correct answer:

Negative

Explanation:

In a traditional coordinate system: left and down are considered negative directions while up and right are considered positive directions. The question states that the object is moving to the left, so regardless of its acceleration, its velocity is negative at the time described.

Example Question #326 : Linear Motion And Momentum

John and Dave would like to meet at a coffee shop at the same time, John drives at  and Dave drives at . What distance from John will the coffee shop have to be if they are to arrive at the same time and they live  apart?

Possible Answers:

Correct answer:

Explanation:

So for this first we have to set up a relation between John (1) and Dave's (2) position. Keeping in mind that Dave is traveling the opposite distance of John.

Where x is the total distance between the two points. Then we solve it for time and plug it in to John's speed to find his distance after the elapsed time.

where is John's total distance traveled. Then we plug in our values

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