Detemine if the ball bounces down the steps without

Question

A ball is dropped with a velocity v₀ and an angle a with the vertical onto the top step of a flight of stairs consisting of 10 steps. The ball rebozmds and bounces down the steps where the coefficient of restitution between ball and step is e= 0.6 . The friction between ball and stairs is negligible. Use values of v₀ from 1.5 m/s to 3.0 m/s in 0.5-m/s increments, andvalues of a from 18° to 26° in 2° increments. By computational programming detemine

(a) if the ball bounces down the steps without skipping any step,

(b) if the ball bounces down the steps without bouncing twice on the same step.