19
24 A train travels between two stations, starting and finishing at rest.
For this journey it
• accelerates uniformly, from rest, for the first 30 seconds until it reaches a speed of 20 m/s
• travels at a constant speed of 20 m/s for the next 60 seconds
• slows down uniformly for the last 20 seconds until it stops.
(a) On the grid, draw the speed–time graph for this journey.
20
Speed
(m/s)
10
0
0 10 20 30 40 50 60 70 80 90 100 110 120
Time (seconds)
[2]
(b) Calculate the distance between the stations.
Answer ...................................... m [2]
Question 25 is printed on the next page
© UCLES 2018 4024/12/O/N/18 [Turn over
5
8 A drink is made by mixing fruit juice and water in the ratio 3 : 5.
The drink is made using 2 litres of water.
Calculate the amount of fruit juice used.
Give your answer in millilitres.
................................................ ml [2]
9 A car starts a journey from rest.
It moves with constant acceleration for 20 seconds until it reaches a speed of 15 m/s.
It then moves at a constant speed of 15 m/s for 40 seconds.
(a) On the grid, draw the speed–time graph for the car’s journey.
30
20
Speed (m / s)
10
0
0 10 20 30 40 50 60
Time (seconds)
[2]
(b) Calculate the acceleration of the car in the first 20 seconds of the journey.
............................................. m/s2 [1]
© UCLES 2019 4024/12/M/J/19 [Turn over
9
12 (a) Lara goes for a cycle ride.
The distance–time graph shows her journey.
25
20
Distance 15
(km)
10
0
10 00 10 30 11 00 11 30
Time of day
Calculate Lara’s average speed, in kilometres per hour, for the whole journey.
........................................ km/h [3]
(b) A car travels at a constant speed of 10 m/s for 80 seconds.
It then decelerates at a constant rate of 0.5 m/s2 until it stops.
On the grid, draw the speed–time graph for this journey.
20
15
Speed
(m/s) 10
0
0 20 40 60 80 100 120
Time (s)
[2]
© UCLES 2021 4024/12/M/J/21 [Turn over
10
14 The diagram shows the speed-time graph for the start of a cyclist’s journey.
20
15
Speed
(m/s) 10
0
0 10 20 30 40 50 t
Time (t seconds)
(a) Find the acceleration during the first 20 seconds.
........................................ m/s 2 [1]
(b) Describe the motion of the cyclist between t = 20 and t = 30.
..................................................................................................................................................... [1]
(c) Find the total distance travelled in the 50 seconds.
............................................. m [3]
© UCLES 2021 4024/12/O/N/21
