Representing Motion (College Board AP® Physics 1: Algebra-Based): Exam Questions

Which of the following pairs of graphs shows an object slowing down?

Swimmer P swims directly across a river at a velocity and swimmer Q swims at at an angle of to the riverbank. The river flows at eastwards relative to the ground. The width of the river is .

Which of the following best describes the difference in their crossing times?

The acceleration-versus-time graph of an object shows a linearly increasing acceleration from to , followed by a constant acceleration of for 5 seconds. The object stops accelerating for 6 seconds before accelerating at a constant rate of until .

Which of the following sketch graphs is the correct velocity-versus-time graph for the motion of this object?

Two trains are moving on parallel tracks. Train A travels at north, relative to the ground. Train B travels at south, relative to the ground. A plane flying above both trains is traveling at north relative to the ground.

Which of the following is the ratio of the velocity of Train A to Train B relative to the plane?

The velocity vs. time graph of a car shows a straight line increasing from to , followed by a curved line with a decreasing gradient to . Which of the following best describes the total displacement and average velocity of the car?

An object moves in a straight line with the following motion profile:

1. The object starts at rest and accelerates uniformly at for

2. It then continues at a constant velocity for

3. The object decelerates uniformly to a velocity of over

4. Finally, it accelerates uniformly at for when it comes to rest

Which of the following is the total displacement of the object?

A delivery drone flies directly north at relative to the air. A wind blows eastwards at relative to the ground. An observer moves westwards at relative to the ground.

Which of the following best describes the velocity of the drone relative to the observer?

An object of mass slides down a rough inclined plane with an acceleration of from rest. The length of the incline is . At the bottom of the incline this object collides elastically with a stationary box of mass .

Which of the following is most nearly the velocity of the box after the collision?

The graph above shows the motion of an object of mass moving in a straight line.

Which of the following best describes the change in momentum of the object between and ?

Two cars, A and B, start at the same point on a straight road. Car A accelerates uniformly from rest at , while Car B starts from rest and accelerates uniformly at .

How long does it take for Car A to be ahead of Car B?