CAIE A Level Mathematics 9709 · Kinematics of motion in a straight line

Kinematics of motion in a straight line: calculation question

3 marksChallenge

A particle moves along a straight line. Its velocity $v$ (in m/s) at time $t$ seconds is given by $v = 3t^2 + 2t + 2$ . Given that the displacement $s = 0$ when $t = 0$ , find an expression for $s$ in terms of $t$ .

(a)
Find $s(t)$ .
[3]

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