Throwing a Ball Through a Window: Finding the Optimal Angle

AI Thread Summary
To determine the optimal angles for throwing a ball through a window, the problem involves calculating the projectile motion of the ball given its initial speed and the window's dimensions. The boy is positioned 6 meters from the building, with the window height at 8 meters and a size of 90 cm. Key factors include the initial speed of 15 m/s and the acceleration due to gravity at 9.81 m/s². Participants in the discussion suggest using kinematic equations to analyze both horizontal and vertical velocities. Understanding these dynamics is essential for finding the range of initial angles that will allow the ball to successfully pass through the window.
r1luher0
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SoRry But I Have An a PrOblem To start WIth this...

A boy is at a distance d = 6m from the base of a building attempts to throw a ball through a window size that H = 90cm at a height h = 8m.
if the ball's initial speed is v0 = 15m / s,
determine the range of initial angles Ø0 allowing the ball passes through the window. (acceleration of the ball is 9.81 m / s ^2 vertical down)

How Can I DetErmine the Angles??

http://img411.imageshack.us/img411/5928/123gs.jpg

ThanKs For The help!
 
Last edited by a moderator:
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r1luher0 said:
SoRry But I Have An a PrOblem To start WIth this...

A boy is at a distance d = 6m from the base of a building attempts to throw a ball through a window size that H = 90cm at a height h = 8m.
if the ball's initial speed is v0 = 15m / s,
determine the range of initial angles Ø0 allowing the ball passes through the window. (acceleration of the ball is 9.81 m / s ^2 vertical down)

How Can I DetErmine the Angles??

http://img411.imageshack.us/img411/5928/123gs.jpg

ThanKs For The help!

Welcome to the PF. Please show us the kinematic equations that you will use to solve this type of problem. Is the horizontal velocity of the ball constant or varying? How about the vertical velocity of the ball?
 
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