Physics 9702 · AS & A Level · Non-uniform motion

Non-uniform motion — practice question

(a)[1]

Define velocity in words.

(b(i))[1]

A constant driving force of $2400\,\text{N}$ acts on a car of mass $1200\,\text{kg}$. The car starts from rest and travels in a straight line on a horizontal road. Take the resistive forces on the car to be negligible. Calculate the acceleration of the car.

(b(ii))[2]

On Fig. 3.1, sketch a graph to show how the velocity $v$ of the car varies with time $t$ during the first $20\,\text{s}$ of motion. Label this line A.

(c(i))[3]

In practice, a resistive force from air resistance acts on the car in (b). This resistive force rises with speed until, at time $t = 12\,\text{s}$, it becomes equal in magnitude to the driving force. On Fig. 3.1, sketch a second line to show how the car’s velocity $v$ varies with time $t$ during the first $20\,\text{s}$ of motion. Label this line B.

(c(ii))[2]

At time $t = 20\,\text{s}$, the driving force is increased to $3000\,\text{N}$ and then kept at this value. Describe how the car’s velocity changes after this increase in driving force.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Velocity means change in displacement over time.

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