Question

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Answer 1

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Answer 2

work energy Theorem,
if energy loss is zero.

work done by car engine = change in kinetic energy of the car

if engine is working at maximum power,

work done by the engine = power of the engine x working time

initial speed = 0 m/s
final speed = 90 km/hr = 90 x 5 / 18 = 25 m/s
power = 25 kW = 25000 W

time required = change in KE / Power of car engine

$time = \frac{ \frac{1}{2}m {v}^{2} - \frac{1}{2} m {u}^{2} }{power} \\ = \frac{1200 \times 25 \times 25}{2 \times 25 \times 1000} \\ = 15 \: sec$