Mathematics 9709 · AS & A Level · Energy, work and power

Energy, work and power — practice question

A car with mass $1250\text{ kg}$ moves from the foot to the summit of a straight hill of length $600\text{ m}$, inclined at $2.5^\circ$ to the horizontal. The constant resistance to the car's motion is $400\text{ N}$. The work done by the driving force is $450\text{ kJ}$. At the bottom of the hill, the car's speed is $30\text{ m s}^{-1}$.
(main)[5]

Find the car's speed at the top of the hill.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Calculates the gain in gravitational potential energy: $1250 \times 10 \times 600 \sin 2.5^\circ$.

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