A sprinter runs at 9 metres per
second for 10 seconds, stops for
10 seconds, then runs at 9 metres
per second for another
10 seconds in the same direction.
A sprinter runs at 9 metres per
second for 10 seconds, stops for
10 seconds, then takes
10 seconds to run back to his
starting point.
A mechanic drives a car at a
steady speed of 20 ms-1 for
8 seconds, then puts on the
brakes to come to a halt
4 seconds later.
A driver drives her car 1.2 km to a
garage, spends 8 minutes
checking her tyres, then drives
the car back home again.
The distance between two bus
stops is 60 metres. A bus sets off
from the first bus stop and
reaches a speed of 10 metres per
second, before braking to stop at
the second bus stop.
A remote-controlled car reverses
10 metres then travels 30 metres
forward at the same speed.
Nuffield Free Standing Mathematics Activity ‘Model the motion’ Student cards
© Nuffield Foundation 2011 ● downloaded from www.fsmq.org
This takes a total of 20 seconds.
Copiable page 1 of 3
v (ms-1)
v (ms-1)
9
9
v (ms-1)
20
6
6
3
0
10
20
–3
3
30 t (s)
10
–6
–9
0
10
20
0
30 t (s)
v (ms-1)
-1
v (ms )
4
6
8
10 12
t (s)
v (ms-1)
10
10
2
2
1
5
t (min)
0
2
4
6
8
5
0
5
10 12
Nuffield Free Standing Mathematics Activity ‘Model the motion’ Student cards
© Nuffield Foundation 2011 ● downloaded from www.fsmq.org
15
20 t (s)
–1
–5
– 10
10
0
–2
2
4
6
8
10 12 t (s)
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x (m)
x (m)
180
x (m)
90
200
150
120
60
90
100
60
30
30
0
10
20
30 t (s)
x (m)
0
10
20
30 t (s)
x (m)
1200
60
1000
50
800
40
600
30
400
20
0
2
4
0
4
6
8
10 12
t (min)
Nuffield Free Standing Mathematics Activity ‘Model the motion’ Student cards
© Nuffield Foundation 2011 ● downloaded from www.fsmq.org
10
12
t (s)
20
10
0
10
15
20
t (s)
10
2
8
x (m)
5
200
6
0
– 10
2
4
6
8
10 12
t (s)
Copiable page 3 of 3