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Determine the car’s speed after it has travelled $100\,\text{m}$ from rest in each of these situations: • The car is travelling up the hill. • The car is travelling down the hill.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A force resisting motion with constant magnitude $350\,\text{N}$ acts on a car of mass $1250\,\text{kg}$. The car’s engine provides a constant driving force of $1200\,\text{N}$. The car moves along a road inclined at an angle of $\theta$ to the horizontal, where $\sin \theta = 0.05$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use Newton’s second law for the uphill case, for example $1200 - 350 - 1250 \times 10 \times 0.05 = 1250a$” …
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