A lift is moving with a uniform downward acceleration of `2 m//s^(2)`. A ball is dropped from a height 2 m from the floor of lift. Find the time taken after which ball will strke the floor ? (Take `g = 10 m//s^(2)`)

Options

A. 1.25 m
B. `sqrt2 sec`
C. `2 sec`
D. `(1)/(2) sec`

Answer

D

Explanation

`a_("rel") = 10 -2 = 8 m//s^(2)`
`H = (1)/(2) g' t^(2)`
`2 = (1)/(2) xx 8 xx t^(2)`
`t = (1)/(sqrt2) sec`