Calculus in kinematicsEdexcel A-Level Maths: Flashcards

What these 13 flashcards ask

Velocity in terms of displacement?
Acceleration in terms of velocity?
Displacement from velocity?
Velocity from acceleration?
Derivative of t^n?
Integral of t^n?
How find the constant of integration?
Condition for instantaneous rest?
Condition for maximum or minimum velocity?
Condition for particle at O?
What does a negative velocity mean?
When does distance equal displacement?
What if v changes sign?

Exam questions on Calculus in kinematics

A particle $P$ moves along a straight line. At time $t$ seconds, $t\ge0$ , its displacement from a fixed point $O$ is $s=t^3-6t^2+9t$ metres.
Find the times at which $P$ is instantaneously at rest.2 marks
A particle moves along a straight line through a point $O$ . At time $t$ seconds, $t\ge0$ , its velocity is $v=6t-3t^2$ m s $^{-1}$ , and at $t=0$ it is at $O$ .
Find the time, after $t=0$ , at which the particle returns to $O$ .2 marks
A particle $P$ moves along a straight line. At time $t$ seconds, $t\ge0$ , its displacement from a fixed point $O$ is $s=2t^3-9t^2+12t$ metres.
Find expressions for the velocity and the acceleration of $P$ at time $t$ .3 marks

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).