Two bodies of masses M and m are allowed to fall from the same height . If air resistance for each body be same , will the two bodies reach the ground simultaneously ?

Explanation

Let R be air resistance
For `1^("st")` body `"Ma"_(1)="Mg"-R`
`a_(1)=("Mg"-R)/(M)=g-(R)/(M)`
For `2^(2d)` body `"ma"_(2)="mg"-R`
`a_(2)=("mg"-R)/(m)=g-(R)/(m)`
As `M gt m`
`therefore a_(1) gt a_(2)`
Thus, heavier body will reaach ground first.