A car, starting from rest, accelerates in the positive x direction. It has a mass of 1.10 x 103 kg and maintains an acceleration of 4.6 m/s2 for 5 s. Assume that a single horizontal force accelerates the vehicle.Determine the average power generated by this force.

Answer 1

work done = F * d =
F = m a = 1100 kg * 4.6 m/s^2 = 5060 Newtons
v = a t = 4.6 *5 = 23 m/s at the end
d = average speed * time = 23/2 * 5 = 57.5 meters travelled
so
work done = 5060 Newtons * 57.5 meters = 290950 Joules
power = work done / time = 290950 / 5 = 58,190 Watts

Answer 2

F = ma
work = force * distance
power = work/time

ps. distance s = 1/2 at^2

Answer 3

You could also say speedat the end = a t = 23
work in = kinetic energy at the end = (1/2)(1100)(23)^2
= 290,950 (again:)
divide that by time 5 sec to get watts
(same answer of course)