本题目来源于试卷: Kinematics，类别为 IB数学
[问答题]
A particle moves along the x4i,l svp 9cxr+fc: -wl -axis with isdibdsytveucq n 18v( *9:kp7-/z4w a velocity, $ v \mathrm{~ms}^{-1}$ , at time t seconds given by the function $v(t)=2+7 t-4 t^{2} $
For $0 \leq x \leq 3$ . The particle is initially at the origin.
1. Find the value of t when the particle reaches its maximum velocity.
2. Sketch a graph of v against t showing any points of intersection with the axes.
3. Find the displacement of the particle from the origin after 2 seconds.
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