2021 May TZ1 P2 Q5

A particle moves in a straight line. The velocity, \(\mathrm{v}\) ms\(^{-1}\), of the particle at time \(t\) seconds is given by \(\mathrm{v}(t) = t\sin{t} - 3\), for \(0 \leq t \leq 10\).
The following diagram shows the graph of \(\mathrm{v}\).

1. Find the smallest value of \(t\) for which the particle is at rest.

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2. Find the total distance travelled by the particle.

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3. Find the acceleration of the particle when \(t = 7\)

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