A-level · Kinematics

Constant acceleration (suvat)Exam-style questions

The five suvat equations, why they all fall out of the velocity–time graph (gradient = acceleration, area = displacement), and the one condition that makes them valid — constant acceleration.

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

DifficultyAll Level 2 Level 3 Level 4

1
A particle moves with constant acceleration. It has initial velocity $2\ \text{m s}^{-1}$ and acceleration $3\ \text{m s}^{-2}$ . Find its velocity after $4$ s.
Level 2 · 2 marksTry it
2
A particle starts from rest and accelerates at $2\ \text{m s}^{-2}$ . Find the distance travelled in $5$ s.
Level 2 · 2 marksTry it
3
SECTION B: MECHANICS

A cyclist travels along a straight horizontal road with constant acceleration. She passes point $A$ with speed $8$ m s⁻¹ and, $100$ m further along the road, passes point $B$ with speed $18$ m s⁻¹.
(a) Find the acceleration of the cyclist. (3 marks)
(b) Find the time taken to travel from $A$ to $B$ . (2 marks)
(c) State one assumption of the model used in your calculations. (1 mark)
Level 2 · 6 marksTry it
4
A delivery van is waiting at traffic lights on a straight horizontal road. When the lights change, the van moves off from rest with constant acceleration $1.6\ \text{m s}^{-2}$

Find
(a) the speed of the van $7$ s after it moves off,

(1 mark)
(b) the distance travelled by the van during these $7$ s.

(2 marks)
Level 2 · 3 marksTry it
5
A cyclist starts from rest at the point $O$ on a straight horizontal road. She rides along the road with constant acceleration $0.9\ \text{m s}^{-2}$

Find
(a) the speed of the cyclist $12$ s after she leaves $O$ ,

(1 mark)
(b) the distance of the cyclist from $O$ at that moment.

(2 marks)
Level 2 · 3 marksTry it

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