The velocity of an object moving rectilinearly is given as a function of time by , where v is in m/s and t is in seconds. The average velocity of particle between t=0 to t=2 seconds is

JEE MainPhysicsModerateMotion in 1D

The velocity of an object moving rectilinearly is given as a
function of time by $v = 4t - 3t^{2}$ , where v is in m/s and t is in
seconds. The average velocity of particle between t=0 to t=2 seconds is

Show answer and solution

< v > = \frac{\int_{0}^{2}\mspace{2mu} vdt}{\int_{0}^{2}\mspace{2mu} dt} = \frac{\int_{0}^{2}\mspace{2mu}\left( 4t - 3t^{2} \right)dt}{2} = 0

Source: Grass-G / P-05 Physics paper 10 October.docx

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