Question

A small disc A slides down with initial velocity equal to zero from the top of a smooth hill of height H having a horizontal portion (Fig. 1.30). What must be the height of the horizontal portion h to ensure the maximum distance s covered by the disc? What is it equal to?

Answer 1

Velocity of the body at hight h,v_h=√(2g(H-h), horizontally (from the figure given in the problem). Time taken in falling through the distance h