Section 002 – Kinematics
Set 001 – Displacement, Distance, Speed, Velocity, Acceleration, and Associated Graphs
1.	Joseph runs along a long straight track. The variation of his speed v with time t is shown below.
		
	After 25 seconds Joseph has run 200 m. Which of the following is correct at 25 seconds?

	Instantaneous speed / m s–1	Average speed / m s–1	
A.	8 m s–1	8 m s–1	
B.	8 m s–1	10 m s–1	
C.	10 m s–1	8 m s–1	
D.	10 m s–1	10 m s–1	
2.	The graph shows the variation with time t of the acceleration a of an object.
		
	Which of the following is the change in velocity of the object in the time interval 0 to 4 s?
A.	–8 m s–1
B.	–4 m s–1
C.	+4 m s–1
D.	+8 m s–1

3.	A car accelerates from rest. The acceleration increases with time. Which graph shows the variation with time t of the speed v of the car?

 
4.	Which of the following quantities can be determined from a speed-time graph of a particle travelling in a straight line?
A.	Only the magnitude of the acceleration at a given instant
B.	Both the velocity and the acceleration at a given instant
C.	Only the distance travelled in a given time
D.	Both the distance travelled in a given time and the magnitude of the acceleration at a given instant

5.	Samantha walks along a horizontal path in the direction shown. The curved part of the path is a semi-circle.
		
	The magnitude of her displacement from point P to point Q is approximately
A.	2 m.
B.	4 m.
C.	6 m.
D.	8 m.

 6.	Which of the following may be determined from a speed-time graph?
A.	Displacement
B.	Distance
C.	Power
D.	Force

7.	A raindrop falling from rest at time t = 0 reaches terminal velocity. Which graph best represents how the speed v varies with time t?

(Total 1 mark)

8.	The graph shows how the displacement d of an object varies with time t. The tangent to the curve at time t1 is also shown.
		
	Which of the following gives the speed of the object at point P?
A.	the gradient at P
B.	the shaded area
C.	
D.	

9.	The graph is a speed versus time graph for an object that is moving in a straight line.
		
	The distance travelled by the object during the first 4.0 seconds is
A.	80 m.
B.	40 m.
C.	20 m.
D.	5 m.
10.	A ball, initially at rest, is dropped in the air from a great height. Air resistance is not negligible.
Which of the following graphs best shows the variation with time t of the acceleration a of the ball?

11.	The graph below shows the variation with time t of the velocity v of an object moving along a straight line.

	The displacement of the object between t = 0 s and t = 6.0 s is
A.	2.0 m.
B.	12 m.
C.	20 m.
D.	24 m.

12.	The graph shows how the velocity of a particle varies with time.
		
	Which of the following graphs correctly shows how the acceleration of the particle varies with time?

(Total 1 mark)