Higher Still Multiple Choice
Mechanics 1.1
1
Which one of the following pairs is entered
correctly?
A.
20%
B.
20%
C.
20%
D.
20%
E.
20%
Scalar
Vector
weight
force
mass
distance
momentum
force
mass
distance
momentum
time
2
A yacht follows the course
shown during a race that
starts and finishes at X.
Which entry gives the
displacement and distance
of the yacht at position Z
(relative to the start)?
Displacement Distance
A. 5 km East
5 km
20%
20%
B. 7 km East
5 km East
20%
C. 5 km
7 km East
20%
D. 7 km East
7 km
20%
E. 5 km East
7 km
Z
3
A boy, sitting on the back of a lorry
which is travelling East at 3 m s–1,
throws a ball at a speed of 4 m s–1
across the lorry in the direction
indicated by the arrow XY.
Which of the following represents the
magnitude and direction of the
velocity of the ball with respect to
the ground?
A. 4 m s
20%
20%
B. 4 m s
20%
C. 5 m s
–1
20%
D. 5 m s
20%
E. 7 m s
–1
–1
–1
–1
4
Which of the following is a scalar quantity?
20%
A. force
20%
B. mass
C. momentum
20%
D. velocity
20%
E. acceleration
20%
5
Consider the following three statements made by pupils
about scalars and vectors.
I Scalars have size only
II Vectors have both size and direction
III Speed is a scalar and velocity is a vector.
Which statement(s) is/are true?
A. I only
20%
20%
B. I and II only
20%
C. I and III only
20%
D. II and III only
20%
E. I, II and III
6
The statements below were found in a student ’ s
notebook.
I Acceleration, velocity and displacement are all vector
quantities.
II Force and weight are vector quantities but mass is a
scalar quantity.
III Time, distance and speed are all scalar quantities.
Which statement(s) is/are true?
A. I only
20%
20%
B. II only
20%
C. III only
20%
D. II and III only
20%
E. I, II and III
7
Which of the following is a scalar quantity?
A. weight
20%
20%
B. mass
20%
C. momentum
20%
D. velocity
20%
E. acceleration
8
Which of the following is a vector quantity?
A. Distance
20%
20%
B. Time
20%
C. Speed
20%
D. Energy
20%
E. Weight
9
Which of the following groups contains two vector
quantities and one scalar quantity?
20%
A.
20%
B.
20%
C.
20%
D.
20%
E.
Time, distance and force
Acceleration, mass and momentum
Velocity, force and momentum
Displacement, velocity and acceleration
Speed, distance and momentum
10
A car travels from X to Y and then it
travels from Y to Z, as shown in the
diagram. X to Y takes a time of one
hour. Y to Z also takes one hour. Which
of the following is a correct list of the
magnitudes of the final displacement,
average speed and average velocity for
the complete journey?
Displacement Average speed Average velocity
(km)
A.
20%
B.
20%
20%
C.
20%
D.
20%
E.
50
70
50
70
50
(km hr–1)
(km hr–1)
35
35
35
70
70
35
25
25
50
25
11
Consider the following three statements made by pupils
about scalars and vectors.
I Scalars have direction only.
II Vectors have both size and direction.
III Speed is a scalar and velocity is a vector.
Which statement(s) is/are true?
A. I only
20%
20%
B. I and II only
20%
C. I and III only
20%
D. II and III only
20%
E. I, II and III
12
A long-distance athlete runs from point
P to point Q and then jogs to point R.
She takes 20 minutes to run from P to Q
and then a further 40 minutes to jog
from Q to R. Which row in the following
table correctly gives her average speed
and her average velocity for the whole
journey from P to R?
A.
20%
20%
B.
20%
C.
20%
D.
20%
E.
Average
speed
7.0 km h -1
7.0 km h -1
7.0 km h -1
5.0 km h -1
5.0 km h -1
Average
velocity
5.0 km h -1 bearing 143°
7.0 km h -1 bearing 127°
5.0 km h -1 bearing 127°
7.0 km h -1 bearing 127°
5.0 km h -1 bearing 143°
13
The acceleration of an object which
starts from rest varies with time as
shown.
Which graph is the corresponding
velocity time graph?
A.
20%
B.
20%
C.
20%
D.
20%
20%
E.
14
The following graph shows how the
force applied to an object of mass 5 kg
varies with time. The object is initially
at rest.
A.
B.
20%
20%
C.
20%
D.
20%
20%
E.
15
A ball is thrown vertically upwards. When it falls to the
ground, it bounces several times before coming to rest.
Which one of the following velocity-time graphs
represents the motion of the ball from the instant it
leaves the thrower’s hand until it hits the ground for a
second time?
A.
B.
20%
C.
20%
D.
20%
E.
20%
20%
16
The velocity-time graph
for a certain train journey
along a straight track is
shown. What is the
distance travelled by the
train in the first 45
seconds?
A. 300 m
20%
20%
B. 600 m
20%
C. 900 m
20%
D. 1200 m
20%
E. 15000 m
17
A car driver presses the accelerator
sharply when the traffic lights go
green. The unbalanced force on the car
varies with time as shown. The graphs I
to III attempt to show the variation
with time of
I the car’s displacement
II the car’s speed
III the car’s acceleration
Which of these graphs is/are correct?
A. I only
20%
20%
B. II only
20%
C. I and III only
20%
D. II and III only
20%
E. I, II and III
18
A car is accelerating uniformly in a straight line.
Which of the following displacement-time graphs
could represent its motion?
A.
B.
C.
D.
E.
20%
20%
20%
20%
20%
19
The following velocity-time graph
represents the motion of a trolley.
Which of the graphs below is the
acceleration-time graph for the
motion?
A.
B.
20%
C.
20%
D.
20%
E.
20%
20%
20
20. A trolley is given a sharp push along a rough
horizontal bench. Which distance-time graph
represents its subsequent motion if distance is
measured from the starting point of the trolley?
A.
20%
B.
C.
20%
D.
20%
E.
20%
20%
21
The velocity-time graph for the
motion of a body is as shown.
Which of the following motions
could produce such a velocitytime graph?
–1
A.
A
body
projected
vertically
upwards
at
25
m
s
20%
B. A body projected upwards at 25 m s –1 at an angle
20% of 60° to the horizontal.
–1
C.
A
body
projected
horizontally
at
25
m
s
20%
D. A body projected downwards at 25 m s –1 at an
20% angle of 60° to the horizontal.
–1
E.
A
body
projected
vertically
downwards
at
25
m
s
20%
22
A boy drops a stone down a dry well. If he
sees the stone strike the bottom after 3
seconds, how deep is the well?
A. 15 m
20%
20%
B. 30 m
20%
C. 45 m
20%
D. 60 m
20%
E. 90 m
23
A boy drops a stone down a dry well. He sees
the stone strike the bottom after 2.0 s. He
repeats the experiment when there is water in
the well. He sees the stone enter the water
after 1.0 s. How full is the well when he drops
the second stone?
20%
A. 1/5
20%
B. 1/4
C. 1/2
20%
D. 3/4
20%
E. 4/5
20%
full
full
full
full
full
24
The acceleration due to gravity is 10 m s–2 on
Earth and 26 m s–2 on another planet. On Earth,
a ball released from rest takes 0.5 s to drop
through a certain height. Assuming that the
resistance of the atmospheres can be neglected
in both cases, the time for the ball to drop
from rest through the same height on the other
planet would be
20%
A. 0.5 x 10/26 s
B. 0.5 x 26/10 s
20%
C. 0.5 x (10/26)² s
20%
D. 0.5 x (26/10)² s
20%
E. 0.5 x (10/26)² s
20%
25
A lift on an oil rig rises vertically with a
constant speed of 2.0 m s–1 . After it
passes a platform, a spanner falls from
the lift and hits the platform 3.0
seconds later.
The height of the lift above the
platform at the instant the spanner falls
is
20%
A. 30 m
20%
B. 39 m
C. 45 m
20%
D. 51 m
20%
E. 90 m
20%
26
A car accelerates uniformly from rest and
travels a distance of 60m in 6 s. Its
acceleration in m s–2 may be calculated from
A. 0.5 x 60/6 s
20%
60/ s
B.
1
x
20%
6
C. 2 x (60/6)² s
20%
D. 0.5 x 60/(6²) s
20%
20%
E. 2 x 60/(6²) s
27
A car travelling at 30 m s–1 starts to brake
when it is 50 m from a stationary lorry. The car
moves in a straight line and manages to stop
just before reaching the lorry. What is the
deceleration of the car, in m s–2 ?
20%
A. 0.6
20%
B. 4.5
C. 9
20%
D. 10
20%
E. 18
20%
28
A car accelerates uniformly from rest and
after 3 s it reaches a speed of 6 m s–1. During
the next second it will travel a distance of
20%
A. 2 m
20%
B. 6 m
C. 7 m
20%
D. 8 m
20%
E. 9 m
20%
29
A car is travelling at 25 m s–1. The brakes are
applied for 5 s and the speed is reduced to 15 ms–1.
How far does the car travel in this time if the
deceleration is uniform?
20%
A. 25 m
20%
B. 50 m
C. 75 m
20%
D. 100 m
20%
E. 175 m
20%
30
A car accelerates uniformly from rest and
travels a distance of 96m in 8 s. Its
acceleration in m s–2 is
20%
A. 0.75
20%
B. 3
C. 6
20%
D. 12
20%
E. 24
20%
31
A car travelling at 20 m s–1 accelerates at 0.5 ms–2
till it is travelling at 30 m s –1. During this period
of acceleration, it will travel a distance of
20%
A. 20 m
20%
B. 50 m
C. 100 m
20%
D. 250 m
20%
E. 500 m
20%
32
A rocket is launched by being fired up a ramp of
length 3.6 m. It reaches a velocity of 120m s–1
at the top. The average acceleration, in m s–2, is
20%
A. 20
20%
B. 33
C. 200
20%
D. 432
20%
E. 2000
20%
33
An object attached to a parachute falls from a
helicopter which is hovering at a height of 120 m
above point X.
The object falls with a constant vertical component
of velocity of
value 12 m s–1. A steady sidewind gives the object a
constant horizontal component
5 m s–1
side-wind
12 m s–1
of velocity of value 5 m s–1
20%
A. 24 m
20%
B. 50 m
120 m
C. 60 m
20%
level ground
D. 120 m
20%
X
E. 150 m
20%
34
A train decelerates uniformly from 12.0 m s-1 to
5.0 m s-1 while travelling a distance of 119.0 m
along a straight track. The deceleration of the
train is
20%
A. 0.5 m s-2
20%
B. 0.7 m s-2
C. 1.2 m s-2
20%
D. 7.0 m s-2
20%
E. 14.0 m s-2
20%
35
A ball is projected vertically upwards with an
initial speed of 40 m s -1 . The acceleration due
to gravity can be taken to be 10 m s -2 . What
total time will the ball take to rise to its
highest point and then return to its starting
point?
20%
A. 2 s
20%
B. 4 s
C. 6 s
20%
D. 8 s
20%
E. 16 s
20%
36
A cyclist is travelling along a straight, level road
at 10 m s-1. She applies her brakes and comes to
rest after travelling a further 20 m. The
braking force is constant. What is her
deceleration?
20%
A. 0.25 m s-2
20%
B. 0.50 m s-2
C. 2.0 m s-2
20%
D. 2.5 m s-2
20%
E. 5.0 m s-2
20%
37
A ball is projected horizontally from the top of
a cliff with a speed of 40 m s–1 . Assuming no air
resistance, in 3 seconds its speed will be
20%
A. 30 m s–1
20%
B. 40 m s–1
C. 50 m s–1
20%
D. 60 m s–1
20%
E. 70 m s–1
20%
38
An object is projected from X.
If air resistance is negligible the object strikes
the ground at an angle of
20%
A. 30°
B. 40°
20%
C. 50°
20%
D. 60°
20%
E. 90°
20%
39
20%
A. 10 m
20%
B. 40 m
C. 45 m
20%
D. 50 m
20%
Vertical component
of velocity m/s
The velocity time graph for the vertical
component of the velocity of an object thrown
upwards and falling onto the roof of a building
is shown below.
The height of the building is
E. 80 m
20%
40
A ball is thrown horizontally off the top of a
vertical cliff with a velocity of 5 m s-1 . At what
time after release will the velocity of the ball
be directed at 45° to the horizontal? (Neglect
air friction)
20%
A. 0.5 s
20%
B. 1.0 s
C. 2.0 s
20%
D. 4.0 s
20%
E. 5.0 s
20%
41
A stunt motorcyclist attempts to jump a river
which is 5 m wide. The bank from which he will
take off is 2 m higher than the bank on which
he will land as shown below.
What is the minimum horizontal speed he must
achieve just before take-off to avoid landing in
the river?
20%
A. 2.0 m s–1
20%
B. 3.2 m s–1
C. 7.9 m s–1
20%
D. 10.0 m s–1
20%
E. 12.5 m s–1
20%
42
A motorcross rider takes a jump which is 1.25 m
high. He lands 10 m from the base of the jump.
Assuming that he was travelling horizontally
when he left the edge and that air resistance is
negligible, at what speed did he approach the
jump?
20%
A. 5 m s–1
20%
B. 10 m s–1
C. 15 m s–1
20%
D. 20 m s–1
20%
E. 25 m s–1
20%
43
Ball P is projected vertically upwards with a velocity v,
while an identical ball Q is projected at the same time
with velocity 2v at an angle of 30° to the horizontal.
In the absence of air resistance, which of the following
statements is/are true?
I
P and Q will hit the ground at the same instant
II
The vertical deceleration of P is greater than
that of Q
III P will rise to a greater vertical height than Q
20%
A. I only
B. I and III only
20%
C. II only
20%
D. II and III only
20%
E. I, II and III
20%
44
A ball is projected with a horizontal velocity
from a bench. The ball travels a horizontal
distance, XY, as shown. Which of the following
is/are used to calculate the distance XY?
I The mass of the ball
II The height of the table
III The horizontal velocity of the ball
20%
A. II only
20%
B. III only
C. I and III only
20%
D. II and III only
20%
E. I, II and III
20%
45
The graphs show the
horizontal and vertical
components of velocity of a
projectile, from the
moment it is fired until it
lands 8 s later.
What is the speed of the
projectile 2 s after firing?
20%
A. 15 m s–1
20%
B. 17.5 m s–1
C. 20 m s–1
20%
D. 25 m s–1
20%
E. 35 m s–1
20%
46
A bomb is released from a plane which is flying
horizontally in a direction corresponding to
right to left on this slide.
What is the path of the bomb, relative to an
observer in the plane, assuming that air
resistance is negligible?
20%
A.
20%
B.
C.
20%
D.
20%
E.
20%
47
An aeroplane flying at 150 m s-1
in level flight 125 m above the
ground, releases a bomb at a
horizontal distance x from the
target T.
If the effect of air resistance
acceleration due to
is neglected, the bomb will
-2
gravity
=
10
m
s
score a direct hit on the
target if x is
20%
A. 30 m
B. 150 m
20%
C. 300 m
20%
D. 750 m
20%
E. 3750 m
20%
48
An aeroplane is flying at 160ms-1
in level flight 80 m above the
ground. It releases a package at
a horizontal distance X from the
target T. If the effect of air
resistance is neglected, the
acceleration due to
bomb will score a direct hit on
-2
gravity
=
10
m
s
the target if X is
20%
A. 40 m
B. 160 m
20%
C. 320 m
20%
D. 640 m
20%
E. 2560 m.
20%
49
The diagram shows the path of a projectile
fired with a horizontal velocity v from the top
of a cliff of height h.
Which of the following values of v and h will
give the greatest value of the angle ?
v (m s–1 )
20%
A.
20%
B.
C.
20%
D.
20%
E.
20%
10
30
50
30
10
h (m)
30
50
10
30
50
50
A cannonball is fired horizontally at 40 m s-1
from the top of a vertical cliff and it hits its
target. The height of the cliff above the level
of the sea is 80 m.
How far is the target from the foot of the
cliff, if air resistance is negligible and the
acceleration due to gravity is 10 m s-2 ?
20%
A. 320 m
20%
B. 160 m
C. 80 m
20%
D. 45 m
20%
E. 40 m
20%
51
A stone is thrown horizontally with a speed of
12 m s-1 over the edge of a vertical cliff. It hits
the sea at a horizontal distance of 60 m out
from the base of the cliff.
Assuming that air resistance is negligible and
that the acceleration due to gravity is 10 m s-2 ,
the height from which the stone was projected
above the level of the sea is
20%
A. 5 m
20%
B. 25 m
C. 50 m
20%
D. 125 m
20%
E. 250 m
20%
52
A projectile is fired at an angle a to
the horizontal. The vertical and
horizontal components of velocity at
the instant of firing are as shown.
What will be the vertical and horizontal
components of velocity after 5 s, if air
resistance is negligible?
Vertical
component
of velocity
20%
A.
20%
B.
C.
20%
D.
20%
E.
20%
30 m s–1
40 m s–1
30 m s–1
40 m s–1
90 m s–1
Horizontal
component
of velocity
30 m s–1
30 m s–1
80 m s–1
80 m s–1
80 m s–1
53