A ball is dropped from a 10 m height ,How much time , it will take to reach the ground ?

Options

A. `1.41` s
B. `0.58` s
C. `2.34` s
D. None of these

Answer

A

Explanation

Given , distance s = 10 m
Initial speed u = 0 m/s
Acceleration , a = `g = 10 m//s^(2)`
Now ,
`s = "ut" +1/2 "at"^(2)`
`10 = 0 xx t +1/2 xx 10 xx t^(2)`
`= 1/2 xx10 xx t^(2)`
`rArr " "t^(2) =10/5`
`rArr " " t = sqrt(2) = 1.414 s `