An object of mass m is dropped at t = 0 from the roof of a building of height h. While the object is falling, a wind blowing parallel to the face of the building exerts a constant force F on the object.

How far is the object displaced horizontally before hitting the ground? Answer in terms of m, g, F, and h.

Question

An object of mass m is dropped at t = 0 from the roof of a building of height h. While the object is falling, a wind blowing parallel to the face of the building exerts a constant force F on the object.
 

How far is the object displaced horizontally before hitting the ground? Answer in terms of m, g, F, and h.

turingtest · Answer

a free-falling object with no initial velocity falls a distance h according to the following formula$$h=\frac12gt^2$$the force of the wind acting on the object will give the object an acceleration to the side that can be found from F=ma. 
getting the acceleration form F=ma, and the time from the above formula, you can plug those expressions into the relevant kinematic$$s=\frac12at^2$$

anonymous · Answer

therefore yielding (in it's least simplified form)

$$1/2*(F/m)*(Sqrt(2h/g))^2$$?