Answer :

It takes approximately 20.09 seconds for the car to accelerate up the 2.85 meter hill.

potential energy =[tex]m * g * h[/tex]

where m = 825 kg (mass of the car), g = 9.81 m/s^2 (acceleration due to gravity), and h = 2.85 m (height of the hill)

potential energy = 825 kg * 9.81 m/s^2 * 2.85 m

potential energy = 22,571 J

work = kinetic energy + potential energy

where kinetic energy = 1/2 * m * v^2

and v = 13 m/s (velocity of the car)

kinetic energy = 1/2 * 825 kg * (13 m/s)^2

kinetic energy = 703,612 J

work = 703,612 J + 22,571 J

work = 726,183 J

power = work / time

where power = 36,181 watts (output power of the car's engine)

time = work / power

time = 726,183 J / 36,181 W

time = 20.09 seconds

Acceleration can be caused by various forces, such as gravity, friction, or a pushing or pulling force. For example, when a car accelerates, the engine produces a force that propels the car forward, increasing its speed. When a skydiver jumps out of a plane, gravity causes the diver to accelerate towards the ground.

In addition to its use in physics, the term "accelerate" is also used in a broader sense to describe the process of speeding up or increasing the pace of something. For example, a company may accelerate its production schedule to meet a deadline, or an athlete may accelerate their training to improve their performance. In these contexts, acceleration refers to an increase in the rate or intensity of a process, rather than a change in velocity.

To learn more about Acceleration visit here:

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