Throwing a Ball Through a Window: Finding the Optimal Angle

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SUMMARY

The discussion focuses on calculating the optimal launch angles for a ball thrown from a distance of 6 meters to pass through a window located 8 meters high with a height of 90 cm. The initial speed of the ball is 15 m/s, and the gravitational acceleration is 9.81 m/s². Participants emphasize the importance of using kinematic equations to determine both horizontal and vertical velocities, which are crucial for solving projectile motion problems.

PREREQUISITES
  • Kinematic equations for projectile motion
  • Understanding of horizontal and vertical velocity components
  • Basic principles of physics related to projectile motion
  • Knowledge of trigonometric functions for angle calculations
NEXT STEPS
  • Study the derivation and application of kinematic equations in projectile motion
  • Learn how to resolve initial velocity into horizontal and vertical components
  • Explore the use of trigonometric functions to calculate launch angles
  • Investigate the effects of varying initial speeds on projectile trajectories
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding projectile motion and the mathematical principles behind calculating optimal launch angles.

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?
 
Last edited by a moderator:

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