How long does the ball take to hit the ground?

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A 3 kg ball is dropped from a height of 176.4 m, and a horizontal wind exerts a constant force of 12 N on it. The time taken for the ball to hit the ground is calculated to be approximately 5.99 seconds, with a final speed of 58.83 m/s upon impact. The discussion highlights confusion regarding the horizontal distance traveled by the ball, as it is affected by the wind force. It is noted that while the ball falls, it does not fall straight down due to this horizontal force. Understanding the forces acting on the ball, including wind resistance, is crucial for determining its trajectory.
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Homework Statement


a 3 kg ball is dropped from rest from the roof on a building 176.4 m high. While the ball is falling, a horizontal wind exerts a constant force of 12 N on the ball?
Part 1) How long does the ball take to hit the ground?
Part 2) How far from the building does the ball hit the ground?
Part 3) When the ball hits the ground, what is its speed?

Homework Equations


The Attempt at a Solution


y=176.4
Vf=?
Vi=0
a=9.81

Part. 3) Vf^2=Vi^2+2ay
Vf= 58.83 m/s

Part. 1) Vf=Vi+at
t=5.99

I don't understand how to find Part 2 because its falling under free fall acceleration so wouldn't it just fall straight down? and the equation to find the x=ViT but the Vi=0 so would'nt the ball just fall straight down instead of falling far away from the building?
 
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Draw a free-body diagram and see what forces are acting on the ball. They give you the wind resistance for a reason.
 
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