A body is moving indirectionally under the influence of a source of constant power . Its displacement in time t is proportional to

A body is moving indirectionally under the influence of a source of co

1.	A body is moving indirectionally under the influence of a source of constant power . Its displacement in time t is proportional to
Answer» `t^(1/2)` t `t^(3/2)` `t^(2)` SOLUTION :` :. W = Pt ` [ Work = Power `xx` Time] ` :. 1/2 mv^(2) = Pt [ :. W = K - K_(0) " here "K_(0)=0] ` ` :. v =sqrt((2Pt)/m)` ` :. (dx)/(dt) =sqrt((2Pt)/m) ""( :. v =(dt)/dt)` Power P=Force F `xx` velocity v ` :. " P = ma " xx " at " [ :. " F = ma , v =at "]` ` :. P= ma^(2)t` ` :.a = sqrt(P/(mt))` Now, from equation (3) of motion of CONSTANT acceleration, In `X = 1/2 sqrt(P/((mt))xxt^(2)` ` :. x = 1/2 sqrt(P/m)xxt^(3/2)` ` :. x prop t^(3/2) " " [ :. " P and m are constant"]`