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What is its maximum height?What is the range of the football?

2006-08-24 08:52:12 · 3 answers · asked by xxgodsgift2youxx 1 in Science & Mathematics Physics

3 answers

Best I can do is to ignore air resistance. A football is a tough thing to model because of its shape. Was the kick a spiral, or was it end-over-end? Makes a big difference.

But if we ignore air resistance, we can do the problem. First break the initial velocity into components.

vox = 22 cos 34 = 18.23 m/s
voy = 22 sin 34 = 12.30 m/s

To see how long it's in the air, use

s = (1/2) gt^2 + voy t = 0 (where g = -9.8 m/s/s)
s = -4.9 t + 12.30 = 0
t = 2.51 sec. (time aloft)

Max height will be at t = 1.26 sec:

s = -4.9 (1.26^2) + 12.30(1.26) = 7.72 m (max ht.)

Distance s = (vox m/s)(t sec) = 18.23 x 2.51 = 45.76 m (range)

2006-08-24 10:02:27 · answer #1 · answered by bpiguy 7 · 0 0

You need the mass of the object in order to find the gravitiional pull which inturn will tell you the arc range. Once that is found then the max height and lenght of time airborn can be found.

2006-08-24 08:59:57 · answer #2 · answered by Chris H 5 · 0 0

Trig Trig Trig Trig Trig!

I hate trig

2006-08-24 09:12:13 · answer #3 · answered by Archangel 4 · 0 0

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