A ball is thrown vertically upwards from the ground. If `T_(1)` and `T_(2)` are the respective time taken in going up and coming down, and the air resistance is not ignored then

Options

A. `T_(1)gtT_(2)`
B. `T_(1)=T_(2)`
C. `T_(1)ltT_(2)`
D. Nothing can be said

Answer

C

Explanation

Air resistance (letF) is always opposite to motion (or velocity)
Retardation in upward journey `a_(1)=(F_(1)+mg)/m=g+(F_(1))/m`

Acceleration in downward jounery `a_(2)=(mg-F_(2))/m=g-(F_(2))/m`
Since `a_(1)gta_(2)impliesT_(1)ltT_(2)`