A flat cushion of mass m is released from rest at the corner of the roof of a building, at height h. A wind blowing along the side of the building exerts a constant horizontal force of magnitude F on the cushion as it drops as shown in the figure below. The air exerts no vertical force.
If m = 1.03 kg, h = 7.85 m, F = 2.29 N, how far from the building (in m) will the cushion hit the level ground?
F = ma
The Attempt at a Solution
I wasn't so sure about this question so..
I tried solving for the acceleration: F = ma ---> 2.29 = (1.03kg)(a) -----> a = 2.22 m/s^2
Then I solved for the time the object hit the ground in the y-direction: d = vit + at^2/2 ----> -7.85 = -9.8/2 t^2
-----> t = 2.22s
My solutions above might just be wrong. That's where I'm stuck right now.