本题目来源于试卷: Kinematics，类别为 IB数学
[问答题]
A particle moves along the x cyph r)-wly3( -axis with a ve ya8y d qp6mkt2el2pwll m +bky35,n10locity, $ v \mathrm{~ms}^{-1}$ , at time t seconds given by the function $v(t)=3+8 t-3 t^{2}$
For $0 \leq t \leq 4$ . 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 distance of the particle from the origin after 3 seconds.
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