A solid wooden sphere rolls down two different inclined planes of the same height but of different inclinations. (a) Will it reach the bottom with same speed in each case ?
(b) Will it take longer to roll down one inclined plane than other ? Explain.

Explanation

(a) Yes, because speed at the bottom depends only on height and not on slope.
(b) Yes, greater the inclination `(theta)`, smaller will be the time of descent, as `t prop 1//sin theta`.