A toy remote control speed boat is launched from one edge of a small pond and moves in a straight line across the pond's surface.
The boat's velocity, \(v \text{ m s}^{-1}\), is modelled in terms of time, \(t\) seconds after the boat is launched, by the expression
$$v = 0.9 + 0.16t - 0.06t^2$$
- Find the acceleration of the boat when \(t = 2\)
[3 marks]
- Find the displacement of the boat, from the point where it was launched, when \(t = 2\)
[4 marks]