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During one of the games, you were asked to punt for your football team. You kick

ID: 2042617 • Letter: D

Question

During one of the games, you were asked to punt for your football team. You kicked the ball at an angle of 48° with a velocity of 25 m/s. If your punt goes straight down the field, determine the average velocity at which the running back of the opposing team standing at 75 m from you must run to catch the ball at the same height as you released it. Assume that the running back starts running as the ball leaves your foot and that the air resistance is negligible. (Enter the magnitude of the velocity.)

Explanation / Answer

=48o==>vo=25 m/s==>range=vox*t==>vox=vo*cos()16.73 m/s=vx==>

voy=vo*sin()18.58 m/s==>t=75/vx4.48343 s or 4.5 s==>

The running back must travel vx=16.73 m/s and voy=18.58 m/s

to catch the ball 4.5 s later the mag is 25 m/s

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