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Mindstein
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Homework Statement
A placekicker must kick a football from a point 36.0 m (about 40 yards) from the goal, and half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 20.0 m/s at an angle of 53.0º to the horizontal.
(a) By how much does the ball clear or fall short of clearing the crossbar?
(b) Does the ball approach the crossbar while still rising or while falling?
Homework Equations
1.)Vox= Vo*CosΘ
2.)Voy= Vo*SinΘ
3.)Δx=x=VoxT where T (caps) is equal to time and not period.(its caps to discern from the sub 'ox')
4.)Δy= VoyT - (1/2)gt²
The Attempt at a Solution
Vxi = 20Cos(53)= 12.07 m/s
Vyi = 20Sin(53)= 15.97 m/s
36.0 m = (12.03 m/s)t → t = 3.00 seconds
Δy= (15.97 m/s)(3.00 seconds) - (1/2)(9.8 m/s²)(9.00 seconds²)
Δy = 3.9 meters
Clears by .9 meters...approximately
(the answer is .889 m while descending)
So, I obviously figured out how to do the problem, but I want to know why Relevant Equation 4.) requires me to use a negative sign instead of a positive one.
May someone shed some light. I am obviously missing something very similiar. I tend to complicate things too much.
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