A particle is moving along a straight line

MATHEMATICS · Single correct · A Level · Mathematics · Kinematics · Kinematics

Problem

A particle is moving along a straight line. At the instant t=5 st = 5\,\text{s} its acceleration suddenly changes from 2 m s−22\,\text{m}\,\text{s}^{-2} to −1 m s−2-1\,\text{m}\,\text{s}^{-2}. Which one of the following statements is necessarily true at t=5 st = 5\,\text{s}? (a) Both velocity and acceleration are continuous. (b) Velocity is continuous but acceleration is discontinuous. (c) Both velocity and acceleration are discontinuous while position is continuous. (d) Velocity is discontinuous but acceleration is continuous.

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