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=10m//s^(2)`
Now,
`s=ut+(1)/(2)at^(2)`
`10=0xxt+(1)/(2)xx10xxt^(2)`
`=(1)/(2)xx10xxt^(2)`
`implies t^(2)=(10)/(5)`
`implies t=sqrt(2)=1.414s`