A-level · Kinematics

Motion graphs (displacement–time & velocity–time)Exam-style questions

What the gradient and the area mean on each kind of motion graph — gradient of displacement–time is velocity, gradient of velocity–time is acceleration, area under velocity–time is displacement — and how to model a journey as a graph and read unknowns off its area.

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12 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 3 Level 4 Level 5

1
The velocity-time graph shows a particle's motion. Find the total distance travelled.
Level 3 · 2 marksTry it
2
A velocity-time graph shows a particle accelerating uniformly from rest to $20\ \text{m s}^{-1}$ in $4$ s. Find the acceleration.
Level 3 · 2 marksTry it
3
The velocity-time graph shows a particle's journey. Find
(a) the total distance travelled and (b) the average speed.
Level 3 · 3 marksTry it
4
A particle decelerates uniformly from $18\ \text{m s}^{-1}$ to $6\ \text{m s}^{-1}$ in $3$ s. Find the deceleration (the magnitude of the gradient of the velocity-time graph).
Level 3 · 2 marksTry it
5
On a velocity-time graph a particle travels at a constant $12\ \text{m s}^{-1}$ for $8$ s, then decelerates to rest in a further $4$ s. Find the total distance travelled.
Level 3 · 2 marksTry it

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