3.2 Kinematics

23%

A particle $P\,$ moves in a straight line so that, at time $t\,$ seconds, its acceleration $\text{ m s}^{-2}$ is given by

\begin{cases} 4t - t^2 & 0 \leq t \leq 3 \\ \frac{27}{t^2} & t > 3 \end{cases}

At $t = 0$ , $P\,$ is at rest. Find the speed of $P\,$ when

a.

$t = 3$

[3]

b.

$t = 6$

[5]

23%

A particle $P\,$ moves in a straight line so that, at time $t\,$ seconds, its acceleration $\text{ m s}^{-2}$ is given by

\begin{cases} 4t - t^2 & 0 \leq t \leq 3 \\ \frac{27}{t^2} & t > 3 \end{cases}

At $t = 0$ , $P\,$ is at rest. Find the speed of $P\,$ when

a.

$t = 3$

[3]

b.

$t = 6$

[5]

3.2 Kinematics Questions