Exam-Style Question on Kinematics

A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 522. This question is similar to one that appeared on a GCSE Higher paper in 2019. The use of a calculator is allowed.

A motorbike moves from rest along a straight road. The graph below shows the speed, $$v$$ in metres per second of the motorbike $$t$$ seconds after it started to move.

(a) What is the maximum speed achieved by the motorbike.

(b) Calculate an estimate of the gradient of the graph at t = 10.

(d) Work out an estimate for the distance the motorbike travels in the first 25 seconds of its journey by dividing the area under the graph into five strips of equal width.

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