5.13 KinematicsIB Maths: Applications and Interpretation HL: Mind map

Exam questions on 5.13 Kinematics

1. A particle moves in a straight line. Its velocity at time $t$ seconds is $v=3t^2-12t+9$ m s$^{-1}$, for $t\ge0$.
   Find the displacement of the particle between $t=0$ and $t=2$.2 marks
2. A particle moves along a straight line. When its displacement from the origin is $s$ metres, its velocity is $v=s^2-4$ m s$^{-1}$.
   Find the acceleration of the particle when $s=-1$.2 marks
3. A robot moves along a straight rail. Its velocity at time $t$ seconds is $v=4\cos(0.5t)$ m s$^{-1}$ for $0\le t\le2\pi$, where the angle is in radians. A GDC may be used.
   Find the first time at which the robot is at rest, and its acceleration at that time.3 marks