A car with a mass of 1.50x10^3 kg starts from rest and accelerates to a speed of 18.0m/s in 12.0 s. assume that the force of resistance remains constant 400.0n during this time. what is the average power developed by the car's engine.

The first thing you should know for this case is the definition of distance.

d = v * t

Where,

v = speed

t = time

We have then:

d = v * t

d = 9 * 12 = 108 m

The kinetic energy is:

K = ½mv²

Where,

m: mass

v: speed

K = ½ * 1500 * (18) ² = 2.43 * 10 ^ 5 J

The work due to friction is

w = F * d

Where,

F = Force

d = distance:

w = 400 * 108 = 4.32 * 10 ^ 4

The power will be:

P = (K + work) / t

Where,

t: time

P = 2.86 * 10 ^ 5/12 = 23.9 kW

answer:

the average power developed by the engine is 23.9 kW