Solving for Airtime: Calculating Time in the Air of a Football Thrown at 21 m/s

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SUMMARY

The discussion focuses on calculating the total airtime of a football thrown at an initial speed of 21 m/s. The ball reaches its peak height in 2.7 seconds, indicating that the time to ascend equals the time to descend. By applying kinematic equations, specifically resolving the initial speed into vertical components and using the time of ascent, the total airtime can be determined as 5.4 seconds.

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Homework Statement



A quarterback threw a football at 21 m/s at a certain angle above the horizontal. If it took the ball 2.7 s to reach the top of its path, how long was it in the air?


Homework Equations


i am confused, although you guys may find this to be simple. wat equations do i use?


The Attempt at a Solution

 
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You have the initial spped it was thrown at. Let it be thrown at some unknown angle thetha. The resolve the speed into the vertical component. By putting final velocity equal to zero, you can find theta, because you are given the time it takes. Then you can calculate how long it is in the air for.
 

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