Answer:
The power require to accelerate the car is, P = 299700 watts
Explanation:
Give data,
The mass of the car, m = 2000 kg
The initial velocity of the sports car, u = 30 m/s
The final velocity of the sports car, v = 60 m/s
The time period of acceleration, t = 9 s
The acceleration of the car, a = (v-u) / t
= (60 - 30) / 9
= 3.33 m/s²
The displacement of the car,
S = ut + ½ at²
= 30 x 9 + ½ x 3.33 x 9²
= 405 m
The force acting on the car, F = m x a
= 2000 x 3.33
= 6660 N
The work done by the car, W = F S
= 6660 x 405
= 2697300 J
The power of the car, P = W / t
= 2697300 / 9
= 299700 watts
Hence, the power require to accelerate the car is, P = 299700 watts
