Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line

Kinematics of motion in a straight line — practice question

A car with mass $1200\text{ kg}$ travels in a straight line over level ground. The resistive force on the car is constant, with magnitude $960\text{ N}$. The engine of the car operates at a rate of $17\,280\text{ W}$. The car goes through points $A$ and $B$. During the journey from $A$ to $B$, its speed is constant at $V\text{ m s}^{-1}$. The moment the car arrives at $B$, the engine is turned off and from then on supplies no energy. The car keeps moving along the same straight line until it stops at $C$. The time for the car to go from $A$ to $C$ is $52.5\text{ s}$.
(i)[3]

Calculate the car’s acceleration at the instant when its speed is $12\text{ m s}^{-1}$.

(ii)[2]

Show that $V = 18$

(iii)[5]

Determine the distance $AC$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: The driving force is $DF = \dfrac{17280}{12} = 1440\text{ N}$

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