Review question

# Can we find the velocity and acceleration of this particle? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R8071

## Question

A particle $P$ moves in a straight line so that, after $t$ seconds, its distance, $s$ metres, from a fixed point $O$ is given by the equation. $s=12\sin\left(\frac{3}{2}t\right)$ Determine

1. expressions for the velocity and acceleration of $P$ in terms of $t$,

2. the time at which $P$ first returns to $O$,

3. the maximum distance of $P$ from $O$ during the motion,

4. the velocity of $P$ when $s=6$.