Variable Acceleration

27%

A particle $P\,$ moves in a straight line so that, at time $t\,$ seconds, its velocity $\text{ m s}^{-1}$ is given by

\begin{cases} 7t - t^2 & 0 \leq t \leq 5 \\ 10 - 2t & t > 5 \end{cases}

a.

Find the acceleration of $P\,$ when $t = 4$

[3]

b.

Find the total distance traveled by $P\,$ in the first 10 seconds.

[7]

27%

A particle $P\,$ moves in a straight line so that, at time $t\,$ seconds, its velocity $\text{ m s}^{-1}$ is given by

\begin{cases} 7t - t^2 & 0 \leq t \leq 5 \\ 10 - 2t & t > 5 \end{cases}

a.

Find the acceleration of $P\,$ when $t = 4$

[3]

b.

Find the total distance traveled by $P\,$ in the first 10 seconds.

[7]

Variable Acceleration Questions