A particle moving in a straight line is acted upon by a force that works at a…

PHYSICS · Subjective · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A particle moving in a straight line is acted upon by a force that works at a constant rate and changes its velocity from

u

v

over a distance

x

. Prove that the time taken is

\displaystyle\frac32\frac{(u+v)x}{u^2+uv+v^2}