Worksheet 1.2b
Worksheet 1.2b
Worksheet 1.2b
c) How can we conclude from the graph that the runner ran at a steady speed
during the race?
e) On the same axes plot a graph for a runner who ran 96 m in 12 seconds
at a steady speed.
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f) Calculate the speed at which this runner ran the race.
2. A cyclist cycles from home to work. The distance-time graph below shows his motion.
D
1200
distance /m
1000
800
600
400
200
0
A0 20 40 60 10 12 140 160 170 180
80 0 0 time /s
a) Describe the motion of the cyclist in words in each stage.
i. Between A & B
ii. Between B & C
iii. Between C and D
b) How does the cyclist’s motion between A & B compare to that between C & D?
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3. A cyclist takes 20 minutes to travel 6 km, cycling at a steady speed. A
motorist sets off on the same journey 10 minutes after the cyclist and arrives
at the final destination 5 minutes before the cyclist.
a) How many metres does the cyclist travel?
b) How many seconds does it take the cyclist to cover this distance?
e) How many seconds does the motorist take to cover the same distance as
the cyclist?
f) Draw a distance/time graph for the motorist on the same grid as the one
for the cyclist.
h) How far has the cyclist travelled when he is overtaken by the motorist?
4. The tortoise and the hare run a race against each other. The distance time
graph for their race is shown below. The motion of the tortoise is shown by
the line AB. That of the hare is shown by the line CDEF.
b) What was the average speed of the tortoise in metres per second over this
distance?
c) How many seconds start did the tortoise have over the hare?
e) How long had the tortoise been moving when it was overtaken by the hare?
f) What the average speed (in m/s) of the hare over the race (i.e. from B to
E)?
f) How long does it take Bill to catch up with Anna from the moment he
sets out from home, and how far are they from school when he does?
g) Does Bill reach school before Anna? If so, how long must he wait for
Anna to arrive?
THE END