During a total time T, a particle moves with velocity +v for T/2, +3v for T/4 and -2v for the remaining time. Its average speed and average velocity are respectively:
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During a total time T, a particle moves with velocity +v for T/2, +3v for T/4 and −2v for the remaining time. Its average speed and average velocity are respectively:

G1 Physics · Accepted Answer

The remaining time is T/4. Distance = v(T/2) + 3v(T/4) + 2v(T/4) = 7vT/4. Average speed = 7v/4. Displacement = v(T/2) + 3v(T/4) − 2v(T/4) = 3vT/4. Average velocity = 3v/4.