CAIE IGCSE Mathematics Extended E2.9.3 Apply the idea of rate of change to simple kinematics involving

Practise using gradients on distance-time and speed-time graphs to compare speeds and calculate acceleration or deceleration.

Exam points

calculate acceleration or deceleration from change in speed divided by time
interpret zero acceleration from a horizontal section of a speed-time graph
estimate instantaneous acceleration by drawing a tangent to a curved speed-time graph

[Maximum number: 3]

The diagram shows the speed-time graph for the first 180 seconds of a train journey.

Figure for Question E2.9.3 Apply the idea of rate of change to simple kinematics involving question 1 — CAIE IGCSE Mathematics Extended

(a)

Find the acceleration, in $\mathrm{m} / \mathrm{s}^{2}$ , of the train during the first 50 seconds. $\mathrm{m} / \mathrm{s}^{2}$

[ 1 ]

0.18 or $\frac{9}{50}$

1

(b)

After 180 seconds, the train decelerates at a constant rate of $1944 \mathbf{~ k m} / \mathbf{h}^{\mathbf{2}}$ .

Show that the train decelerates for 60 seconds until it stops.

[ 2 ]

$1944\times\frac{1000}{3600\times3600}$
M1

$9\div0.15=60$
M1

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E2.9.3 Apply the idea of rate of change to simple kinematics involving question 1

Question (a)

Question (b)