A body is projected vertically up with a speed Vo . Find the magnitude of time average velocity of the body during its ascent.

A body is projected vertically up with a speed V_o . Find the magnitude of time average velocity of the body during its ascent.

[ Ans: V_o/2 ]

Sol:
Time of Ascent t = V_o/g

Average velocity

$ \displaystyle = \frac{\int_{0}^{t}V dt}{\int_{0}^{t}dt}$

$ \displaystyle = \frac{\int_{0}^{t}(V_0 – g t)dt}{\int_{0}^{t}dt}$