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veena
Oct9-07, 07:15 PM
1. The problem statement, all variables and given/known data

A quarterback claims that he can throw the football a horizontal distance of 183 m (200 yd). Furthermore, he claims that he can do this by launching the ball at the relatively low angle of 30.0° above the horizontal. To evaluate this claim, determine the speed with which this quarterback must throw the ball. Assume that the ball is launched and caught at the same vertical level and that air resistance can be ignored. For comparison, a baseball pitcher who can accurately throw a fastball at 45 m/s (100 mph) would be considered exceptional.

2. Relevant equations

△X=UxT
183 = UxT
Ucos30T=183 (1)

Uy = Usin30
AT + V = Uy
0=Uy-9.8T Uy-0 = 9.8T
Uy-9.8T=0 Uy - 9.8T = 0
Usin30-9.8T=0 Usin30 - 9.8T = 0
T=Usin30/9.8 (2) T = Usin30/9.8 (2)

(2) into (1):
Ucos30*Usin30/9.8=183 * = 183 Ucos30 Usin30/9.8
U^2 cos30sin30=1793.4 U ^ 2 = 1793.4 cos30sin30
U^2=4141.7 U ^ 2 = 4141.7
U=64m/s U = 64 m / s



3. The attempt at a solution

Is this right plz help...and U = V

plzzzzzzzzzzzzzzzzz help

Astronuc
Oct9-07, 08:24 PM
T=Usin30/9.8 is the time to get to the peak of the trajectory. It must take the same time to get down to the same initial elevation, neglecting air resistance.