Projectile Motion Quarterback Throw

  • Thread starter wizzpowa
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  • #1
wizzpowa
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Homework Statement



A quarterback claims that he can throw the football a horizontal distance of 193 m. Furthermore, he claims that he can do this by launching the ball at the relatively low angle of 32.1 ° above the horizontal. To evaluate this claim, determine the speed with which this quarterback must throw the ball. Assume that the ball is launched and caught at the same vertical level and that air resistance can be ignored. For comparison a baseball pitcher who can accurately throw a fastball at 45 m/s (100 mph) would be considered exceptional.


Homework Equations



The Kinematic equations

The Attempt at a Solution



So I cant figure out how to get anywhere with only the few variables they give me. I can only figure out how to get the initial speed in both the x and y directions. What should I do?
 

Answers and Replies

  • #2
PeterO
Homework Helper
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62

Homework Statement



A quarterback claims that he can throw the football a horizontal distance of 193 m. Furthermore, he claims that he can do this by launching the ball at the relatively low angle of 32.1 ° above the horizontal. To evaluate this claim, determine the speed with which this quarterback must throw the ball. Assume that the ball is launched and caught at the same vertical level and that air resistance can be ignored. For comparison a baseball pitcher who can accurately throw a fastball at 45 m/s (100 mph) would be considered exceptional.


Homework Equations



The Kinematic equations

The Attempt at a Solution



So I cant figure out how to get anywhere with only the few variables they give me. I can only figure out how to get the initial speed in both the x and y directions. What should I do?

Check out what range and "hang time" you get for a ball thrown at 10m/s, and also 20m/s to get a feel for what the ball does.
Once you have done that it may become obvious how to approach the original claim.
 

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