A bus moves over a straight level road with a constant acceleration a. A boy in the bus drops a ball out side. The acceleration of the ball w.r.t the bus and the earth are respectively

Options

A. `a` and `g`
B. `a+g` and `g-a`
C. `sqrt(a^(2)+g^(2))` and `g`
D. `sqrt(a^(2)+g^(2))` and `a`

Explanation

(c) Let `a_("rel")=` acceleration of ball with respect to ground acceleration of bus with respect to ground

`=-ghatj-ahati`
`:. |a_("rel")|=sqrt(g^(2)+a^(2))`