A particle moves along a straight line

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A particle moves along a straight line. Its velocity v(t)v(t) (in m/s) is described as follows: it increases linearly from 00 at t=0t=0 to 66 at t=3t=3 and then remains constant at 66 for 3<t≤53<t\le 5. Which statement best describes the particle's acceleration on 0<t≤50<t\le 5 s? (a) It is constant at 2 m/s22\text{ m/s}^2 for the entire interval. (b) It is 0 m/s20\text{ m/s}^2 for 0<t<30<t<3 and 2 m/s22\text{ m/s}^2 for 3<t≤53<t\le 5.⁠ (c) It is 2 m/s22\text{ m/s}^2 for 0<t<30<t<3 and 0 m/s20\text{ m/s}^2 for 3<t≤53<t\le 5.⁠ (d) It is −2 m/s2-2\text{ m/s}^2 for 0<t<30<t<3 and 0 m/s20\text{ m/s}^2 for 3<t≤53<t\le 5.⁠

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