13 A car, starting from rest, is driven along a horizontal track.
The velocity of the car, \(v \mathrm {~m} \mathrm {~s} ^ { - 1 }\), at time \(t\) seconds, is modelled by the equation
$$v = 0.48 t ^ { 2 } - 0.024 t ^ { 3 } \text { for } 0 \leq t \leq 15$$
13
- Find the distance the car travels during the first 10 seconds of its journey.
13 - Find the maximum speed of the car.
Give your answer to three significant figures.
13 - Deduce the range of values of \(t\) for which the car is modelled as decelerating.