evaluate this claim, determine the speed with which this quarterback must throw

Question

evaluate this claim, determine the speed with which this quarterback must throw the ball. Assume that the ball is launched and companison a baseball pitcher who can accurately throw a fastball at 45 m/s (100 mph) would be considered exceptional quarterback cisims that he can throw the football a horizontal distance of 178 m. Furthermore, he claims that he can do this by leunching the bal at the relatively low angle of 30.2 above the horicontal caught t the same vertical level and that air resistance can be ignered. For

Explanation / Answer

here,

the horizontal distance travelled by ball , x = 178 m

angle , theta = 30.2 degree

let the initial speed dgiven to ball to travel 178 m be u

hoirazontal range , R = u^2 * sin(2*theta)/g

178 = u^2 * sin(2 * 30.2) /9.81

solving for u

u = 45 m/s

so, the baseball pitcher who can throw the fastball at 45 m/s would be considered acceptable

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