The diagram shows the speed-time graph for the final 40 seconds of a car journey. At the start of the 40 seconds the speed is $$\(v \mathrm{~m} / \mathrm{s}\)$$. Find the acceleration of the car during the first 24 seconds. $$\(.......................\mathrm{m} / \mathrm{s}^{2}\)$$

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_w20_qp_23 Year:2020 Question No:19(a)

Answer:

\(\frac{5}{12}\) or \(0.417\) or \(0.4166\) to \(0.4167\)

Knowledge points:

E2.10.1 Interpret and use graphs in practical situations including travel graphs and conversion graphs.
E2.10.2 Draw graphs from given data.
E2.10.3 Apply the idea of rate of change to simple kinematics involving distance–time and speed–time graphs, acceleration and deceleration. (May include estimation and interpretation of the gradient of a tangent at a point.)
E2.10.4 Calculate distance travelled as area under a speed–time graph.

Solution:

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