1. You are playing baseball with your friends and you have one last chance to win the game, but you must hit a home run. You try to keep your head calm, and tell yourself it is just a matter of physics. You know the height from which you will hit (1.00m), how tall the wall is (3.00m), and how far it is from you (60.0m). It is just a matter of hitting the ball with the right speed at the right angle. a) Draw a sketch of the situation, labeling the height from where you hit the ball, its (unknown) initial velocity, the (unknown) maximum height of its trajectory, the distance to the wall, and the height of the wall. Draw a sketch of the trajectory of the ball as well. b) You shoot the ball with an angle of 45°. What is the minimum initial velocity such that you hit the winning home run? c) What is the maximum height of the trajectory in this case? d) How long will the ball stay in the air before surpassing the wall? e) With what velocity (magnitude and direction) will the ball surpass the wall?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. You are playing baseball with your friends and you have one last chance to win the
game, but you must hit a home run. You try to keep your head calm, and tell yourself
it is just a matter of physics. You know the height from which you will hit (1.00m),
how tall the wall is (3.00m), and how far it is from you (60.0m).
It is just a matter of hitting the ball with the right speed at the right angle.
a) Draw a sketch of the situation, labeling the height from where you hit the ball,
its (unknown) initial velocity, the (unknown) maximum height of its trajectory,
the distance to the wall, and the height of the wall. Draw a sketch of the
trajectory of the ball as well.
b) You shoot the ball with an angle of 45°. What is the minimum initial velocity
such that you hit the winning home run?
c) What is the maximum height of the trajectory in this case?
d) How long will the ball stay in the air before surpassing the wall?
e) With what velocity (magnitude and direction) will the ball surpass the wall?
Transcribed Image Text:1. You are playing baseball with your friends and you have one last chance to win the game, but you must hit a home run. You try to keep your head calm, and tell yourself it is just a matter of physics. You know the height from which you will hit (1.00m), how tall the wall is (3.00m), and how far it is from you (60.0m). It is just a matter of hitting the ball with the right speed at the right angle. a) Draw a sketch of the situation, labeling the height from where you hit the ball, its (unknown) initial velocity, the (unknown) maximum height of its trajectory, the distance to the wall, and the height of the wall. Draw a sketch of the trajectory of the ball as well. b) You shoot the ball with an angle of 45°. What is the minimum initial velocity such that you hit the winning home run? c) What is the maximum height of the trajectory in this case? d) How long will the ball stay in the air before surpassing the wall? e) With what velocity (magnitude and direction) will the ball surpass the wall?
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