# Laws of Motion: Acceleration to be applied on a free falling object to reduce velocity to 0

Assume that an object of mass 'm' is falling to the earth.

The force acting on the same would be F = m*g = 10m (assuming g = 10m/s^2).
In this case the velocity of the object at time 't' = 10 seconds will be 100 m/s (v = u + at).
At this point, if an opposing force of F' = -10m is applied on the falling object, how long would it take for the velocity of the falling object to reduce to 0?

Would it be valid to say that the opposing force of F' = -10m has to be applied for time 't' = 10 seconds to reduce the velocity of the falling object to 0?

-

If you this opposing force is indeed the only force, it will indeed take 10 seconds to reach zero velocity, since now you get $v=u_0 -a t$ And $u_0=a T$