A cyclist rides along a straight horizontal road.
Starting from rest, she accelerates uniformly to 8 m s−1^{-1}−1 in 10 seconds, then travels at 8 m s−1^{-1}−1 for 30 seconds, then decelerates uniformly to rest in a further 5 seconds.
Sketch a velocity-time graph for the motion of the cyclist.
Find the total distance travelled by the cyclist.
State one modelling assumption about the motion of the cyclist that is implied by the shape of your graph.
265 exam-style questions on AQA A Level Maths 3.2 Q: Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Constant acceleration formulae, 3.2.4 Calculus in kinematics (A-level only), and 3.2.5 Motion under gravity and projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.