Question

A body is projected vertically up with a valocity u. its velocity at ghalf of its maximum height and at `3//4th` of its maximum height are.

Answer 1

From `v^(2)-u^(2)=2aS`, here `a=-g,` when `S=(H)/(2)`, then
`v^(2)-u^(2)=2(-g)(u^(2))/(4g)impliesv=(u)/(sqrt(2))`
When `S=(3H)/(4)`, then
`v^(2)-u^(2)=2(-g)(3u^(2))/(4(2g))impliesv=(u)/(2)`