A car (mass 920 kg) drives up a hill (height 328 m) in 143 seconds. At the bottom of the hill, it has a speed of 24 m/s, but at the top, it has slowed down to 14 m/s. Neglecting friction, what is the average engine power

To calculate the average engine power, we need to first calculate the work done by the engine in driving the car up the hill.

The work done by the engine is equal to the change in the car's potential energy.

The change in potential energy is given by the formula:
ΔPE = m * g * h

Where:
ΔPE is the change in potential energy
m is the mass of the car
g is the acceleration due to gravity (approximately 9.8 m/s^2)
h is the height of the hill

Let's calculate the change in potential energy:
ΔPE = 920 kg * 9.8 m/s^2 * 328 m
ΔPE = 2,849,184 J (Joules)

Now, we need to calculate the time it takes for the car to travel up the hill:
t = 143 s (seconds)

The average engine power is given by the formula:
P = ΔPE / t

Substituting the values:
P = 2,849,184 J / 143 s
P ≈ 19,898.5 W (Watts)

Therefore, the average engine power is approximately 19,898.5 Watts.