Worksheet 3 Kinematics 1

6. The diagram below shows a stone moving

1. The diagram shows a strip of paper tape in a horizontal circle of radius 70 cm.
pulled at constant speed under a ticker-timer.
The ticker-timer makes 50 dots per second.

40 cm

What was the speed of the object? [1]

2. Define the velocity of an object. The stone takes a time of 0.62 s for each
Explain why velocity is a vector quantity. [3] revolution.
(a) Calculate the speed of the stone.
3. A small insect travels a distance of 24 cm (Hint: In a time of 0.62 s, the stone travels a
in a time of 4.0 minutes. Calculate the distance equal to the circumference of the
average speed of the insect in m s−1. [2] circle.) [2]
(b) The stone starts at point A. What is the
4. The displacement–time graph for an magnitude of the displacement of the stone
object is shown below. from A after a time of:
(i) 0.31 s [1]
(ii) 0.62 s? [1]

7. The table below shows the time taken

(t) and the displacement (s) of a trolley
rolling down a ramp.
Time / s 0 0.1 0.2 0.3 0.4 0.5 0.6
Displacement 0 0.8 3.0 6.8 12.0 18.9 27.0
/ 10−2 m
(a) What does the gradient of a
displacement–time graph represent? [1] (a) Plot a graph of displacement against
(b) Describe the journey of the object. [2] time. (Make sure that you sketch a smooth
(c) Calculate the velocity of the object curve.) [2]
at 2.0 s. [2] (b) Describe the motion of the trolley.
Explain your answer. [2]
(c) By drawing tangents to the curve at times
5. A cyclist travels a distance of 3.2 km in 0.2 s and 0.5 s, determine the velocities of
15 minutes. She rests for 30 minutes. She the trolley at these times. [2]
then covers a further distance of 6.2 km in a (d) The acceleration a of the trolley is given
time of 40 minutes. by:
Calculate the average speed of the cyclist in change in velocity
m s−1: a=
time taken
(a) for the first 15 minutes of the journey [2] Use the equation above and your answers to
(b) for the total journey. [2] (c) to determine the acceleration a of the
trolley. [2]
Worksheet 3 Kinematics 2

8. A landing module is falling towards the 12. A painter accidentally drops a can of
Moon’s surface at a steady speed of paint from a bridge over a river. The can is in
5.00 m s−1. At a height of 62.5 m, a small free fall for a time of 2.3 s before it hits the
object becomes detached from the landing water below. The acceleration of free fall is
module and accelerates down with the 9.81 m s−2.
acceleration of free fall on the Moon (a) Calculate the velocity of the can just
1.60 m s−2. At what speed does the object hit before it hits the water. [3]
the Moon? [1] (b) What is the height of the bridge? [3]

9. A ball is dropped vertically from rest at 13. A racing car travelling at a velocity of
time t = 0 and accelerates downwards with an 45 m s−1 hits a safety barrier. The car comes
acceleration g. to a halt after travelling a distance of 20 m.
What distance does it travel between Calculate the average deceleration of the car.
t = t1 and t = t2? [1] [3]

14. A metal ball is dropped from a height of

t=0
6.0 m onto soft ground. The ball hits the
ground and penetrates a distance of 8.5 cm.
t = t1 Calculate the deceleration of the ball as it
enters the ground.
distance You may assume that the ball decelerates
uniformly. (Acceleration of free fall
t = t2
= 9.81 m s−2.) [5]

10. The diagram shows the velocity–time 15. A ball is kicked towards goal posts from
graph for an object. a position 20 m from and directly in front of
the posts. The ball takes 0.60 s from the time
it is kicked to pass over the cross-bar, 2.5 m
above the ground. The ball is at its maximum
height as it passes over the cross-bar. You
may ignore air resistance.
(a) Calculate the ball’s horizontal component
of velocity. [1]
(b) Calculate the vertical component of the
velocity of the ball immediately after it is
(a) Describe the motion of the object. [1]
kicked. [2]
(b) Calculate the acceleration of the object.
(c) Determine the magnitude of the initial
[3]
velocity of the ball immediately after it is
(c) Use the graph to determine the distance
kicked. [2]
travelled by the object in 8.0 s. [3]
(d) Determine the angle above the horizontal
at which the ball is kicked. [2]
11. A car slows down from a velocity of
22 m s−1 to 5.0 m s−1 in a period of 6.0 s.
For this car, calculate:
(a) its deceleration [3]
(b) its average velocity [1]
(c) the distance travelled in 6.0 s. [2]
Worksheet 3 Kinematics 3
Accelerated motion in force fields
(a) Calculate the magnitude and direction of the
1. Which statement defines electric field strength electric field between the plates. [3]
between two parallel plates? [1]
(b) Describe the electric field between the plates.
A Electric field strength is equal to the charge per [2]
unit distance between the plates.
B Electric field strength is equal to the force per (c) An oil droplet of weight 6.4  10−15 N is held
unit charge. stationary between the two plates.
C Electric field strength is equal to force times
the distance between the plates. (i) State whether the charge on the droplet is
D Electric field strength is equal to the potential positive or negative.
difference times the distance between the plates. Explain your answer. [2]

2. The diagram shows two parallel, charged (ii) Determine the charge on the oil droplet. [2]
plates.

5. A proton is travelling at right angles to an

electric field of strength 2.40  10–6 V m–1.

(a) Calculate the force on the proton due to the

electric field. [2]
Which statement about the electric field at points
P, Q and R is correct? [1] (b) Calculate the acceleration of the proton in the
direction of the field. [2]
A The field at P is greater than the field at Q
and R. (c) Write down the acceleration of the proton at
B The field at P is less than the field at Q and R. right angles to the field. [1]
C The fields at P and Q are equal but greater
than the field at R.
D The fields at all points P, Q and R are all 6. A pair of parallel plates are 5.0 cm apart and
equal. are connected to a 200 V supply. A particle of
dust between the plates experiences a force, due
3. There is a potential difference of 200 V across to the field, of 3.2  10−4 N.
a pair of parallel plates which are 4.00 cm apart. Calculate the charge on the dust particle. [3]
Calculate the force on a charge of 2.50 nC which
is between the plates.
A 2.00  10−9 N
B 1.25  10−7 N
C 2.00  10−7 N
D 1.25  10−5 N [1]

4. The diagram shows two parallel, horizontal

plates separated by a vertical distance of 3.0 cm.
The potential difference between the plates is
600 V.