Question

If the ratio of the final velocities of two bodies falling freely is 4 : 3, then the ratio of the heights from which they fall is​

Answer 1

Answer: 16:9

Explanation : Let the two bodies fall from heights H and h, such that H>h. Now for a body dropped from height H and falling freely its velocity V on reaching the ground is

V²= 2 g H,……..1 For the body dropped from height h and falling freely, its velocity v, on reaching the ground is, v² = 2 g h, Now V/v = 4/3, (given)or V²/v² = 16/9, Now H/h = V²/v² = 16/9. Therefore the two heights are in the ratio of 16:9.