A ball is kicked off of a 60 m tall building with an initial velocity of 12 m/s.  What is the magnitude of the velocity of the ball just before it strikes the level ground below?  Notice how we don't even need to know the angle of the ball as it left the top of the building to find the magnitude of final velocity.  (b)  If the ball had left the building with an angle 25° above the horizontal, then at what angle would it strike the ground?  (This sounds harder than it is, find the initial velocity in the x-direction.  The final velocity in the x-direction will be the same, so calculate the final velocity in the y-direction from the final magnitude of velocity.  Now use a touch of trig (an inverse trig function) to find the final angle.)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 21P: A 5.00-kg block is set into motion up an inclined plane with an initial speed of i = 8.00 m/s (Fig....
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Using energy techniques solve the following problem(s)
A ball is kicked off of a 60 m tall building with an initial velocity of 12 m/s.  What is the magnitude of the velocity of the ball just before it strikes the level ground below?  Notice how we don't even need to know the angle of the ball as it left the top of the building to find the magnitude of final velocity.  (b)  If the ball had left the building with an angle 25° above the horizontal, then at what angle would it strike the ground?  (This sounds harder than it is, find the initial velocity in the x-direction.  The final velocity in the x-direction will be the same, so calculate the final velocity in the y-direction from the final magnitude of velocity.  Now use a touch of trig (an inverse trig function) to find the final angle.)

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