Holiday Homework May2023

Holiday Homework 2022-2023
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Scan your answer document and then upload it. You can attach additional sheets to write answers.
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Q.1. The top graph shows the distance/time graph for a boy’s bicycle ride and the
bottom graph gives the axes for the corresponding speed/time graph.
a) Look at the distance/time graph that has been drawn for you.
(i) Answer the following questions for the time interval AB.
1) What is happening to the distance from the starting point?
2) What can you say about the speed of the bicycle?
(ii) On a copy of the speed/time axes on the bottom graph, draw a thick line
that could show the speed during AB.
b) On your copy of the speed/time axes

(i) draw a thick line that could show the speed during BC,
(ii) draw a thick line that could show the speed during CD.
c) How far from her starting point is the girl when she has finished her ride?
1
Q.2. A car of mass 1200 kg is travelling at a steady speed of 30 m/s against a resistive
force of 1500 N, as illustrated in the diagram.
a) Calculate the kinetic energy of the car.

b) Calculate the energy used in 2.0 s against the resistive force.
c) What is the minimum power that the car engine has to deliver to the wheels?
d) What form of energy is in the fuel, used by the engine to drive the car?
e) State why the energy in the fuel is converted at a greater rate than you have
calculated in question c)
Q.3. In a training session, a racing cyclist’s journey is in three stages.

Stage 1: He accelerates uniformly from rest to 12 m/s in 20 s.
Stage 2: He cycles at 12 m/s for a distance of 4800 m.
Stage 3: He decelerates uniformly to rest. The whole journey takes 500 s.
a) Calculate the time taken for stage 2.
b) On a copy of the grid below, draw a speed/time graph of the cyclist’s ride.
c) Show that the total distance

travelled by the cyclist is
5400 m.
d) Calculate the average

speed of the cyclist.
2
4 An IGCSE class is investigating the reflection of light by a plane mirror.
One student’s ray-trace sheet is shown in Fig. 4.1.
Fig. 4.1
3
(a) In the first part of the experiment, a plane mirror is to be placed on line CD.
(i) Draw a normal to AB at point N, towards the top of the page. Label the other end
of this normal L.
(ii) Two pins P1 and P2. are placed on line LN. Label suitable positions for P1 and P2.
(b) The mirror is placed on line CD and the images of P1 and P2 are viewed from the
direction indicated by the eye in Fig. 4.1.
Two pins P3 and P4 are placed so that the images of P1 and P2, and the pin P3 all
appear exactly in line with P4.
(i) Draw a line passing through P3 and P4 and reaching AB.

(ii) Measure the angle θ between this line and the normal NL. Record this value in
Table 4.1. [1]
(c) The mirror is then moved to line EF and pins P5 and P6 are placed in line with the new
images.
Repeat steps (b)(i) and (b)(ii) using the new mirror line and pin positions. [1]
Table 4.1
α/° θ /°
mirror on CD 20
mirror on EF 30
[1]
(a) A student suggests that θ should always be equal to 2α.
State whether the experimental results support this idea. Justify your answer with
reference to the results.
statement .........................................................................................................................
justification .......................................................................................................................
..........................................................................................................................................
(b) Suggest two precautions that could be taken to ensure accurate results from this
experiment.
1. ......................................................................................................................................
2. ......................................................................................................................................

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Holiday Homework 2022-2023

b) On your copy of the speed/time axes

a) Calculate the kinetic energy of the car.

Q.3. In a training session, a racing cyclist’s journey is in three stages.

a) Calculate the time taken for stage 2.

c) Show that the total distance

d) Calculate the average

One student’s ray-trace sheet is shown in Fig. 4.1.

(i) Draw a line passing through P3 and P4 and reaching AB.

(a) A student suggests that θ should always be equal to 2α.

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