CAIE IGCSE Additional Math 14.15 kinematics graphs

Use this kinematics-graphs page to connect gradients, areas and intercepts across displacement-time, velocity-time and acceleration-time graphs.

Exam points

Draw velocity-time or acceleration-time graphs from the given motion information.
Use graph areas to calculate distance travelled over a stated time interval.
State coordinates where motion graphs meet the axes or change gradient.

[Maximum number: 3]

(a)

Figure for Question (a) — CAIE IGCSE Additional Math

In this question, all lengths are in metres and time t is in seconds.
The diagram shows the displacement-time graph for a runner, for $0\leqslant t\leqslant40$ .

[ 3 ]

(i)

Find the distance the runner has travelled when t=40.

[ 1 ]

$110\text{ m}$
B1

(ii)

Figure for Question (ii) — CAIE IGCSE Additional Math

On the axes, draw the corresponding velocity-time graph for the runner, for $0\leqslant t\leqslant40$ .

[ 2 ]

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14.15. Use kinematics graphs question 1

Question (a)

Question (i)

Question (ii)