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5.13 KinematicsIB Maths: Applications and Interpretation HL: Flashcards

What these 13 flashcards ask

  • Relationships between s, v and a?
  • What do \dot{x} and \ddot{x} mean?
  • What is speed?
  • How do you find when a particle is instantaneously at rest?
  • Formula for acceleration when v is a function of s?
  • When is a particle speeding up?
  • When is a particle slowing down?
  • Displacement between t1 and t2?
  • Total distance travelled between t1 and t2?
  • How do you find distance by hand when v changes sign?
  • How do you find position at time t?
  • Can distance be smaller than displacement?
  • Units of s, v and a?

Exam questions on 5.13 Kinematics

  1. A particle moves in a straight line. Its velocity at time tt seconds is v=3t2−12t+9v=3t^2-12t+9 m s−1^{-1}, for t≥0t\ge0.
    Find the displacement of the particle between t=0t=0 and t=2t=2.2 marks
  2. A particle moves along a straight line. When its displacement from the origin is ss metres, its velocity is v=s2−4v=s^2-4 m s−1^{-1}.
    Find the acceleration of the particle when s=−1s=-1.2 marks
  3. A robot moves along a straight rail. Its velocity at time tt seconds is v=4cos⁡(0.5t)v=4\cos(0.5t) m s−1^{-1} for 0≤t≤2π0\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
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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).