How Long Is the Football in the Air and How Far Does It Travel?

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SUMMARY

The discussion focuses on calculating the time a football is in the air and its range when kicked at a 45-degree angle with an initial speed of 20 m/s. The correct formula for time of flight is established as Time of flight = 2V0sin(θ)/g, leading to a time of 1.5 seconds. The maximum range is calculated using Rmax = V02/g, resulting in a distance of 40.8 meters. The participant initially misapplied equations but ultimately clarified the correct approach for both time and range calculations.

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Homework Statement


To get the maximum range, a football kicker kicks a football (at ground level) at an angle of 45degrees. The initial speed of the football is 20 m/s.

a. How long is the football in the air?
b. How far up-field does the football hit the ground?


Homework Equations





The Attempt at a Solution



Well originally i thought, i must use X=Xo+1/2(V+Vo)t
to get the time, but that requires X, which is also asked for and not given.
So then i tried getting X. So i used Rmax= Vo^2/g
20/9.8=40.8m
And i also needed V. so i used V^2=V0^2+2a(X-X0)
and got V=34.6 m/s

I plugged those in as X and V and got time=1.5 seconds

However, i only got partial credit, so i don't know where i went wrong
 
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Time of flight = 2V_0*sin(theta)/g
 

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