Question

The maximum height reached by ball, as measured from the ground would be

• A. 73.65 m
• B. 116.25 m
• C. 82.56 m
• D. 63.25 m

Answer 1

Answer: (C)

82.56 m

Velocity of ball with respect to elevator when shot up=$15m/s$

Thus velocity of ball with respect to ground=$25m/s$

Once the ball is shot up, the only acceleration of the ball is due to gravity.

Thus the maximum height attained by the ball=$\frac{u^2}{2g}$ with respect to the point of projection.

Thus the maximum height attained from point of projection=$31.25m$

Height of the point of projection from the ground=$50m+2m=52m$

Thus the maximum height attained by ball above the ground=$31.25m+52m=83.25m$