Calculate the power a car engine contributes to speeding the 1400 kg car up to a highway speed of 60.0 mi/h in 14.0 s.

Power is calculated by dividing the work done with the time interval of the motion. Work, on the other hand, is force times the distance traveled. Therefore, we can calculate as follows:

60.0 mi/h = 26.82 m/s

The car accelerates at:

v2 = v1 + at

a = [v2 - v1] / t

a = 1.49m/s²

The distance it travels at this acceleration in 15.0 s is:

d = [v1 + v2] t / 2

d = (0 + 22.4m/s) 15.0s / 2

d = 168m

P = m (a) (d) / t

= (1300kg) (1.49m/s²) (168m) / 15.0s

= 22,700 W