A cyclist starts from rest

PHYSICS · Single correct · CBSE · Physics · Motion · Motion

Problem

A cyclist starts from rest, accelerates uniformly for 4 s4\,\text{s} to reach 6 m s−16\,\text{m\,s}^{-1}, and then immediately moves at a constant speed of 6 m s−16\,\text{m\,s}^{-1} for the next 4 s4\,\text{s}. Which one of the following comparisons is correct? (a) Average velocity in the whole 8 s8\,\text{s} equals the instantaneous velocity at t=8 st=8\,\text{s}. (b) Average velocity in the whole 8 s8\,\text{s} is 3 m s−13\,\text{m\,s}^{-1}. (c) Instantaneous velocity at t=2 st=2\,\text{s} is equal to the average velocity during the first 4 s4\,\text{s}. (d) Average velocity in the first 4 s4\,\text{s} equals the instantaneous velocity at t=4 st=4\,\text{s}.

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