IB Physics Question Pack
2.1: Motion
IB 2009-2014
2.1: Motion Question Pack
Name ________________
2.1.4 Terminal
velocity
2.1.3 Projectiles
2.1.2 EOM
2.1.1 Graphs
Qu.
Mark Max
MC
11
Structured
8
MC
6
Structured
5
MC
7
Structured
10
MC
7
Structured
6
Total
60
Target
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IB Physics Question Pack
2.1: Motion
IB 2009-2014
2.1.1 Motion Graphs
1.
An object is dropped from rest above the Earth’s surface. Air resistance acts on the object. What is the variation
of acceleration a with time t for the object?
4.
A body moves on a straight line. The graphs show the variation of displacement with time. Which graph shows
motion with negative acceleration?
6.
A particle accelerates from rest. The graph shows how the acceleration a of the particle varies with time t.
What is the speed of the particle at t=6.0s?
A. 0.5 ms–1
B. 2.0 ms–1
C. 9.0 ms–1
D. 18 ms–1
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IB Physics Question Pack
2.1: Motion
IB 2009-2014
9.
A tennis ball is dropped from the top of a high building. Air resistance cannot be neglected. Which graph
represents the variation with time t of the magnitude of the acceleration a of the ball before it hits the ground?
18. An object is thrown upwards leaving the thrower’s hand at time t=0. Which graph shows how speed v
varies with t as the object rises and falls?
19. A ball is released at time t=0 above a horizontal surface. The graph shows the variation of velocity v with
time. Which of the following shows the highest point of the ball after one bounce?
21.
The velocity–time graph for an accelerating object that is traveling in a straight line is shown below.
Which of the following is the change in displacement of the object in the first 5.0 seconds?
A. 25.0 m
B. 12.5 m
C. 5.0 m
D. 1.0 m
3
IB Physics Question Pack
2.1: Motion
22. The graph shows the acceleration a of an object as time t varies.
IB 2009-2014
What is the magnitude of the change in the velocity of the object between 0 and 3 seconds?
A. 5 ms–1
B. 10 ms–1
C. 20 ms–1
D. 30 ms–1
29. The graph shows how the displacement
time
is also shown.
of an object varies with time . The tangent to the curve at
Which of the following gives the speed of the object at point P?
A. the gradient at P
B. the shaded area
C.
D.
33.
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
39. 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.
4
IB Physics Question Pack
2.1: Motion
IB 2009-2014
42. [3 marks]
A test model of a two-stage rocket is fired vertically upwards from the surface of Earth. The sketch graph shows
how the vertical speed of the rocket varies with time from take-off until the first stage of the rocket reaches its
maximum height.
Show that the maximum height reached by the first stage of the rocket is about 170 m.
43a. State the difference between average speed and instantaneous speed. [2 marks]
5
IB Physics Question Pack
2.1: Motion
IB 2009-2014
43b. [3 marks] The graph shows how the acceleration a of a particle varies with time t.
At time t = 0 the instantaneous speed of the particle is zero.
(i) Calculate the instantaneous speed of the particle at t = 7.5 s.
(ii) Using the axes below, sketch a graph to show how the instantaneous speed v of the particle varies with t.
6
IB Physics Question Pack
2.1: Motion
IB 2009-2014
2.1.2 Equations of Motion
8. A projectile is fired from level ground with speed v at an angle θ to the ground. Ignoring air resistance,
which of the following is a correct expression for the maximum height reached by the projectile?
A.
B.
C.
D.
11. An object, initially at rest, travels a distance d in a time t at a constant acceleration. What is the time
taken for the object to travel 16d from rest at the same acceleration?
A. 16t
B. 8t
C. 4t
D. 2t
23. A gun fires a bullet of mass m at a horizontal velocity of v. Air resistance on the bullet is negligible. A
change in which of the following will affect the time for the bullet to hit the ground?
A. m only
B. v only
C. m and v
D. neither m nor v
24. A stone is thrown vertically upwards from the surface of Earth. Which of the following quantities will not
become zero while the stone is in the air?
A. Speed
B. Velocity
C. Momentum
D. Acceleration
25. An ice-hockey puck is slid along ice in a straight line. The puck travels at a steady speed of 20 ms–1 and
experiences no frictional force. How far does the puck travel in 2.5 s?
A. 5 m
B. 8 m
C. 25 m
D. 50 m
30.
The diagram shows the path of a projectile that is launched with velocity
. Air resistance is negligible.
A second projectile has double the mass of the first projectile and is launched with the same velocity. Air
resistance is still negligible. Which of the following paths best represents the path of the projectile? (The original
path is shown as a dotted line)
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IB Physics Question Pack
2.1: Motion
IB 2009-2014
45a. Lucy stands on the edge of a vertical cliff and throws a stone vertically upwards. [2 marks]
The stone leaves her hand with a speed of 15ms–1 at the instant her hand is 80m above the surface of the sea. Air
resistance is negligible and the acceleration of free fall is 10ms–2.
Calculate the maximum height reached by the stone as measured from the point where it is thrown.
45b. [3 marks]
Determine the time for the stone to reach the surface of the sea after leaving Lucy’s hand.
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IB Physics Question Pack
2.1: Motion
IB 2009-2014
2.1.3 Projectile Motion
7.
A ball of mass m is projected horizontally with speed v from a height h above the floor. Air resistance is
negligible.
The horizontal distance travelled by the ball to the point where it lands on the floor depends on
A. m and h only.
B. m and v only.
C. h and v only.
D. m, h and v.
10.
A ball is thrown from the top of a cliff. The initial magnitude of the velocity of the ball at time t=0 is V. The ball hits
the sea at time t=T. Air resistance is negligible.
Which graph shows how the vertical component of the velocity v of the ball varies with t as it falls to the sea?
9
IB Physics Question Pack
2.1: Motion
IB 2009-2014
15. A ball of mass m is thrown horizontally from a cliff with initial velocity u. Air resistance is negligible.
A change in which of the following will affect the horizontal distance travelled?
A. m only
B. u only
C. both m and u
D. neither m nor u
20.
Balls X and Y are at the same height. X is projected horizontally at the same time that Y is dropped. Y is the
same size as X but has half its mass.
Ignoring air resistance, which statement is true?
A. Y will hit the ground before X.
B. Y will hit the ground after X.
C. Y will hit the ground at the same time as X.
D. The outcome can only be determined if the initial speed of X is known.
26.
A ball is thrown horizontally from the top of a high cliff. Air resistance is negligible.
Which of the following correctly describes the changes, if any, to the ball’s vertical speed and horizontal speed?
10
IB Physics Question Pack
2.1: Motion
IB 2009-2014
27
A stone is thrown from a cliff and it lands in the sea as shown below. Air resistance is negligible.
Which of the following statements is correct whilst the stone is in motion?
A. The vertical component of the stone’s displacement is constant.
B. The horizontal component of the stone’s displacement is constant.
C. The vertical component of the stone’s velocity is constant.
D. The horizontal component of the stone’s velocity is constant.
40.
An object moves in the
plane. The graphs below show how the component of its velocity
x-direction and the component of its velocity
in the y-direction, vary with time .
x-direction component
y-direction component
The particle is moving
A. in a parabola.
B. with simple harmonic motion.
C. with constant velocity in a straight line.
D. in a circle.
11
in the
IB Physics Question Pack
44a. [3 marks]
2.1: Motion
IB 2009-2014
A ball is projected horizontally at 5.0ms–1 from a vertical cliff of height 110m. Assume that air resistance is
negligible and use g=10ms–2.
(i) State the magnitude of the horizontal component of acceleration of the ball after it leaves the cliff.
(ii) On the axes below, sketch graphs to show how the horizontal and vertical components of the velocity of the
ball, vx and vy , change with time t until just before the ball hits the ground. It is not necessary to calculate any
values.
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IB Physics Question Pack
44b. [4 marks]
2.1: Motion
IB 2009-2014
(i) Calculate the time taken for the ball to reach the ground.
(ii) Calculate the horizontal distance travelled by the ball until just before it reaches the ground.
44c. [3 marks]
Another projectile is launched at an angle to the ground. In the absence of air resistance it follows the parabolic
path shown below.
On the diagram above, sketch the path that the projectile would follow if air resistance were not negligible.
13
IB Physics Question Pack
2.1: Motion
IB 2009-2014
2.1.4 Terminal Velocity
2.
The diagram shows the trajectory of an object projected in the absence of air resistance.
The object is then projected with the same initial conditions but air resistance is taken into account. Which of the
following is the trajectory when air resistance is taken into account? The original trajectory is shown as a dotted
line.
12. An object is released above the surface of Earth. Which of the following correctly describes the speed and
acceleration before it reaches terminal speed?
14. Two identical balls are dropped from a tall building, one a few seconds after the other. Air resistance is
not negligible. As the balls fall, the distance between the balls will
A. decrease.
B. increase.
C. increase then remain constant.
D. remain constant.
17. An object is thrown horizontally from the edge of a high crater on the Moon. The Moon has no atmosphere.
Which of the following describes the changes, if any, to the horizontal and vertical components of the velocity of
the object?
14
IB Physics Question Pack
28. A raindrop falling from rest at time
the speed
varies with time ?
2.1: Motion
IB 2009-2014
reaches terminal velocity. Which graph best represents how
32.
The time taken for a stone dropped from rest to fall vertically through 16 m is 2.0 s. Based on these
measurements, what is the best estimate for the acceleration of free fall?
A.
B.
C.
D.
34.
Two balls of different mass are dropped from the top of a tall building one after the other. The distance between
the balls
A. increases with time.
B. depends on the initial velocity only.
C. remains constant.
D. depends on the mass of the balls.
35.
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?
15
IB Physics Question Pack
2.1: Motion
IB 2009-2014
38. A skydiver jumped out of an airplane. On reaching a terminal speed of
, she opened her
parachute. Which of the following describes her motion after opening her parachute?
A. She went upwards for a short time, before falling to Earth at a speed of
.
B. She continued downwards at
, but hit the ground with less force.
C. She continued to fall but reached a new terminal speed of less than
.
D. She went upwards for a short time, before falling to Earth at a speed of less than
.
41a. [3 marks]
Fiona drops a stone from rest vertically down a water well. She hears the splash of the stone striking the water
1.6 s after the stone leaves her hand. Estimate the
(i) distance between Fiona’s hand and the water surface.
(ii) speed with which the stone hits the water.
41b. [3 marks]
After the stone in (a) hits the water surface it rapidly reaches a terminal speed as it falls through the water. The
stone leaves Fiona’s hand at time t = 0. It hits the water surface at t1 and it comes to rest at the bottom of the
water at t2. Using the axes below, sketch a graph to show how the speed v of the stone varies from time t = 0 to
just before t = t2. (There is no need to add any values to the axes.)
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