Kinematics Test

Multiple Choice Questions

1

The vertical velocity vs. time motion for an object is shown above, with positive velocity indicating a speed in the upward direction. Based on this graph,

(A) the object must be traveling in a negative direction throughout its motion

(B) the object must be traveling with a constant velocity throughout its motion

(C) the object has an acceleration that is changing

(D) the object must have been thrown straight up into the air

(E) the vertical motion of the object is consistent with that of a projectile

2 An object is dropped from the edge of a cliff. Approximately how long will it take the object to fall 125 m?

3 An object with an initial velocity of 12 m/s west experiences a constant acceleration of 4 m/s² west for 3 seconds. During this time the object travels a distance of:

4 A stone is thrown horizontally and follows the

path XYZ shown below.

The direction of the acceleration of the stone

at point Y is:

5 A student collects position-time data for an object moving along the -axis, and determines that the motion corresponds closely with a mathematical model of , where is in meters and is in seconds. Assuming that the object moves according to this model, it can be determined that

(A) at time , the object was at the origin.

(B) at time , the object has an initial velocity of 1.0 m/s.

(C) at time , the object had an initial acceleration of 1.5 m/s².

(D) during the motion, the acceleration of the object varied according to time-squared

(E) none of these

(A) (D)

(B) (E)

(C)

(A) (D)

(B) (E)

(C)

(A)

(B)

(C)

(D)

(E)

Name: _________________________

6

A ball rolling across a flat, horizontal table has a velocity of ⃑ . After it leaves the edge of the table, the ball continues to travel with a constant horizontal velocity as it begins to fall. Just before the ball hits the ground, it has net velocity of ⃑ . What is the vertical speed of the ball at this moment?

7 A toy car, initially traveling in a straight line at 30.0 cm/s, slows down with a constant linear acceleration of 3.0 cm/s². How much time passes before the car comes to a halt?

8 A baseball is thrown vertically into the air. The acceleration of the ball at its highest point is:

(A) Zero

(B) g, up

(C) g, down

(D) 2g, up

(E) 2g, down

9 A vector has a magnitude of 15.0 and points 30.0° west of north. What is the horizontal component of the vector?

10 Each of four particles move along an x axis. Their coordinates (in meters) as functions of time (in seconds) are given by

particle 1: ( ) particle 2: ( ) particle 3: ( ) particle 4: ( )

Which of these particles have constant acceleration?

(A) All four

(B) Only 1 and 2

(C) Only 2 and 3

(D) Only 3 and 4

(E) None of them

11 The diagram below shows the vector

components of vector ⃑.

What is the magnitude of ⃑ ?

(A)

(B)

(C)

(D) √

(E) √

(A) (D)

(B) (E)

(C)

(A) (D)

(B) (E)

(C)

(A)

(B)

(C)

(D) √( )

(E) √( )

𝜃

�⃑�

�⃑�𝑦

�⃑�𝑥

12 An object is shot from the back of a flatbed truck moving at 20 m/s on a straight horizontal road. The launcher is aimed upward, perpendicular to the bed of the truck. The object lands

(A) in front of the truck.

(B) behind the truck.

(C) inside the bed of the truck.

(D) either behind or in front of the truck, depending on the initial speed of the object.

(E) to the side of the truck.

13 A car accelerates from rest on a straight road. A short time later, the car decelerates to a stop and then returns to its original position in a similar manner, by speeding up and then slowing to a stop. Which of the following five coordinate versus time graphs best describes this motion?

14 A particle moves along the x-axis with a non-constant acceleration described by , where is in meters per second squared

and is in seconds. If the particle starts from rest so that its speed and position are zero when , where is it located at seconds?

15 A circus cannon fires an acrobat into the air at an angle of above the horizontal, and the acrobat reaches a maximum height above her original launch height. The cannon is now aimed so that it fires straight up into the air at an angle of to the horizontal. What is the maximum height reached by the same acrobat now?

16 A ball is thrown horizontally from the top of 45-m high hill. The ball strikes the ground a distance of 30-m from the position it was thrown. At what speed was the ball thrown?

(A)

(B)

(C)

(D)

(E)

(A) (D)

(B) (E)

(C)

(A)

(B)

(C)

(D) √

(E)

√

(A) (D)

(B) (E)

(C)

45 m

30 m

17

The graph above describes the velocity of an object moving along the -axis as a function of time . Which graph below is a possible position vs. time graph for this object?

18 Which of the curves on the graph below best represents the vertical component of the

velocity versus time for a projectile fired at an angle of 45° above the horizontal?

19 An object moves in a straight line according to the equation , where is in meters and is in seconds. At what time is the acceleration of the object zero?

20 Two bodies are falling with negligible air resistance, side by side, above a horizontal plane. If one of the bodies is given an additional horizontal acceleration during its descent, it:

(A) strikes the plane at the same time as the other body

(B) strikes the plane earlier than the other body

(C) has the vertical component of its velocity altered

(D) has the vertical component of its acceleration altered

(E) follows a straight line path along the resultant acceleration vector

(A)

(B)

(C)

(D)

(E)

(A) (D)

(B) (E)

(C)

(A) (D)

(B) (E)

(C)