Question

find the speed of the transverse wave in the rope at a point 0.5 m distance from the lower end

Answer 1

Sorry but I copied it down from someone who already answered it.

Use the equation for velocity of the transverse wave first which is given by

v=(g*x)^1/2 (where x is a variable distance)

we know v=dx/dt , dt = 1/v dx => dt = 1√gx dx

therefore integrating the time t =∫1√gxdx =2√(x/g)

so applying the limits from 0 to 2 .45 we get the time as => 2*(2.45/9.8)^1/2 => 1s