16 A remote-controlled toy car is moving over a horizontal surface. It moves in a straight line through a point \(A\).
The toy is initially at the point with displacement 3 metres from \(A\). Its velocity, \(v \mathrm {~m} \mathrm {~s} ^ { - 1 }\), at time \(t\) seconds is defined by
$$v = 0.06 \left( 2 + t - t ^ { 2 } \right)$$
16
- Find an expression for the displacement, \(r\) metres, of the toy from \(A\) at time \(t\) seconds.
16 - In this question use \(g = 9.8 \mathrm {~m} \mathrm {~s} ^ { - 2 }\)
At time \(t = 2\) seconds, the toy launches a ball which travels directly upwards with initial speed \(3.43 \mathrm {~m} \mathrm {~s} ^ { - 1 }\)
Find the time taken for the ball to reach its highest point.
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