A pendulum bob is in x-z plane length of pendulum bob is 5m. A cart is moving along y-axis with velocity 10 m/s from which a ball is to be projected such that it strikes elastically pendulum bob of same mass, while traveling horizontally in x-z plane. What is the velocity of projection for which tension in string and velocity of bob simultaenously become zero at extreme position. Ball is projected from origin of coordinates. Pendulum bob is located at horizontal distance 40 m from point of projection. If ball is projected with velocity ${\mathrm{v}}_{\mathrm{x}}\widehat{\mathrm{i}}+{\mathrm{v}}_{\mathrm{y}}\widehat{\mathrm{j}}+{\mathrm{v}}_{\mathrm{z}}\widehat{\mathrm{k}}$ relative to cart express velocity of ball (in m/s) as sum | v_x | + | v_y | + | v_z |.