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 = Â (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 Â S
                         = 6660 x 405
                         = 2697300 J
The power of the car, Â Â Â Â Â P = W / t
                         = 2697300 / 9
                         = 299700 watts
Hence, the power require to accelerate the car is, P = 299700 watts
