A football player attempts a 30-yd field goal. If he is able to impart a velocity u of 100 ft/sec to the ball, compute the minimum angle θ. for which the ball will clear the crossbar of the goal. (Hint: Let m = tan θ)

Question

Engineering

Macintosh

26 April, 09:51

A football player attempts a 30-yd field goal. If he is able to impart a velocity u of 100 ft/sec to the ball, compute the minimum angle θ. for which the ball will clear the crossbar of the goal. (Hint: Let m = tan θ)

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Leonel Stark · Answer 1

Answer:2.53°

Explanation:The ball is undergoing a projectile motion that is why it has an angle

Range = (U^2 sin2a) / g

U = velocity of the ball=100ft/sec

Range of the ball (i. e horizontal distance the ball crossed) = 30yard=90ft

a=angle the ball is projected

g = acceleration due to gravity=9.8m/s^2

90 = (100^2*sin2a) / 9.8

90*9.8=10000*sin2a

882/10000=sin2a

0.0882=sin2a

Sin^-1 0.0882=2a

5.06=2a

a=5.06/2

a=2.53