Language of kinematics and motion graphsEdexcel A-Level Maths: Mind map

Exam questions on Language of kinematics and motion graphs

1. A runner jogs 300 m east from a point $O$ in 100 s, then turns and jogs 100 m west in 50 s, all in a straight line. Take east as the positive direction.
   Find the average speed for the whole run, and explain why it is not equal to the magnitude of the average velocity.2 marks
2. A train moves along a straight track. Its velocity increases uniformly from $0$ to $20$ m s$^{-1}$ in 10 s, stays constant at $20$ m s$^{-1}$ for 30 s, then decreases uniformly to rest in 20 s. Consider its velocity--time graph.
   Find the average speed of the train over the whole journey.2 marks
3. A particle $P$ moves on a straight line through a fixed point $O$. Its displacement from $O$ is $s$ metres at time $t$ seconds. At $t=0$, $s=2$. From $t=0$ to $t=4$, $P$ moves with constant velocity to $s=14$. From $t=4$ to $t=7$, $P$ is at rest. From $t=7$ to $t=12$, $P$ moves with constant velocity to $s=-6$.
   Find the velocity of $P$ in each of the three stages of its motion.3 marks