Highest point on trajectory of tennis ball

AI Thread Summary
To determine the height at which a tennis ball hits a wall, the problem involves analyzing the ball's trajectory using constant acceleration equations for both horizontal and vertical motions. The ball is thrown at a speed of 21.0 m/s and an angle of 40.0 degrees, with a horizontal distance of 23.0 m to the wall. The discussion emphasizes the need to calculate the time of flight and the height at impact, while also considering whether the ball has reached its peak height before hitting the wall. The solution requires breaking down the motion into x and y components and eliminating time to find the height. Understanding these principles is essential for solving the problem effectively.
firebird99
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Homework Statement



A tennis ball is thrown toward a vertical wall with a speed of 21.0 m/s at an angle of 40.0 degrees above the horizontal. The horizontal distance between the wall and the point where the tennis ball is released is 23.0 m.

a. At what height above the point of release does the tennis ball hit the wall?

b. Has the tennis ball already passed the highest point on its trajectory when it hits the wall? Justify your answer.

Homework Equations


The Attempt at a Solution



Sorry i can't provide more information but my teacher assigned us this problem, he said it would be difficult and honestly I have no idea what to do. Any help will be appreciated.

Thank-you
 
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Welcome to PF!

Hi firebird99! Welcome to PF! :smile:

Use the standard constant acceleration equations for the x and y directions separately, to get two equations for t and h, and then eliminate t. :wink:
 

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