本题目来源于试卷: Kinematics，类别为 IB数学
[问答题]
The velocity, $ v \mathrm{~m} \mathrm{~s}^{-1}$ , at time t seconds, of a particle moving in a straight line is given by
$\begin{array}{l}
v=\frac{\left(t^{2}-1\right) \sin t}{2} \\
\text { for } 0 \leq t \leq 2
\end{array}$
1. Determine when the particle changes direction for the first time.
2. Find the times when the acceleration of the particle is $1.4 \mathrm{~m} \mathrm{~s}^{-2}$ .
3. Find the acceleration of the particle when its speed is at its greatest.
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