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

Non-uniform motion — practice question

(a(i))[1]

Define the term velocity.

(a(ii))[1]

Define the term acceleration.

(b(i))[3]

Use Fig. 3.1 to give a qualitative description of the car’s velocity over the first six seconds of the motion shown. Support your answer with reasons.

(b(ii))[1]

Calculate the average velocity for the interval $t = 0$ to $t = 1.5\,\text{s}$.

(b(iii))[2]

Show that the average acceleration from $t = 1.5\,\text{s}$ to $t = 4.0\,\text{s}$ is $-7.2\,\text{m s}^{-2}$.

(b(iv))[2]

Calculate the average force acting on the car from $t = 1.5\,\text{s}$ to $t = 4.0\,\text{s}$.

(i)[3]

Use Fig. 3.1 to give a qualitative description of the car’s velocity over the first six seconds of the motion shown. Support your answer with reasons.

(ii)[1]

Calculate the average velocity for the interval $t = 0$ to $t = 1.5\,\text{s}$.

(iii)[2]

Show that the average acceleration from $t = 1.5\,\text{s}$ to $t = 4.0\,\text{s}$ is $-7.2\,\text{m s}^{-2}$.

(iv)[2]

Calculate the average force acting on the car from $t = 1.5\,\text{s}$ to $t = 4.0\,\text{s}$.

Worked solution & mark scheme

This 18-mark question has a full step-by-step worked solution and mark scheme. One marking point: Velocity is the rate of change of displacement, $v = \frac{ds}{dt}$

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