A particlefall freely from height s . At certain height its kineticenergyis three time to its potential energy ,them at any one instant its height and speed respectively …………..

A particlefall freely from height s . At certain height its kineticene

1.	A particlefall freely from height s . At certain height its kineticenergyis three time to its potential energy ,them at any one instant its height and speed respectively …………..
Answer» `s/4,(3gs)/2` `s/4,(sqrt(3gs))/2` `s/2,(sqrt(3gs))/2` `s/4,sqrt((3gs)/2)` Solution :Suppose AC = s and particle fall from point A and V its velocity at point B . ` :. V^(2)-v_(0)^(2) =2g (s-X)` `v^(2)=2g(s-x)` Potential energy at B = mgx `…….` (2) ` :. ` Kinetic energy at PONT B . = 3x potential energy . `1/2 m SS 2g(s-x) = 3 mgx ` ` :. s - x = 3x ` ` :. s = 4x ` ` :. x = S/4` ` :. ` EQUATION (1) , `v^(2) =2g(s-s/4)` `= 2g xx (3s)/4 ` `=(3gs)/2 ` ` :. v = sqrt((3gs)/2)`.