A 1000kg car accelerates from 0 to 25m/s in 8s. What is the average power delivered by the engine? (1hp=746W)

P=W/t
p=Fd/t
P=Fv
p=mav
=1000(25/8)(25)
=78125W which is about 104.725 hp

Is this correct?

What is the change in KE ?

1/2 m v^2

divide by time, and you have power.

Yes, your calculation is correct. To find the average power delivered by the engine, you used the formula P = W/t, where P is power, W is work done, and t is the time taken. You then found the work done by using the formula W = Fd/t, where F is the force applied, d is the displacement, and t is the time taken. Since the force applied is equal to the product of mass (m) and acceleration (a), you substituted F with ma. Finally, you multiplied the mass of the car (1000 kg) by the average acceleration (25 m/s divided by 8 s, which is 3.125 m/s²) and the displacement (25 m) to find the work done. The result of 78125 W, equivalent to about 104.725 horsepower, is the average power delivered by the engine. Well done!