How long does the ball take to hit the ground?

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SUMMARY

The discussion focuses on the physics problem of a 3 kg ball dropped from a height of 176.4 m, subject to a horizontal wind force of 12 N. The time taken for the ball to hit the ground is calculated as 5.99 seconds, using the equation Vf = Vi + at, where the acceleration due to gravity (a) is 9.81 m/s². The final velocity upon impact is determined to be 58.83 m/s using the equation Vf² = Vi² + 2ay. The horizontal displacement, however, requires consideration of the wind force, which prompts further analysis of the ball's 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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