According to the NFL the longest punt ever was a ninety eight “yarder” kicked by

Question

According to the NFL the longest punt ever was a ninety eight “yarder” kicked by New York Jets Steve O’Neil on Sept. 21, 1969. Assuming we can ignore air resistance and assuming that the football was kicked optimum angle to the horizontal (choose positive vertical direction upwards; 98 yards &; 90 meters, use SI units)

A) What was the initial velocity of that ball (round to the nearest integer)

B) What are the components the initial velocity? (round to the nearest integer)

C) For how long was this ball in the air before it returned to ground? (round to one decimal)

D) What was the maximum height reached by this ball? (round to the nearest integer)

Explanation / Answer

for longest range, angle used is 45 deg.

(A) maximum range = v0^2 / g

90 = v0^2 / 9.8

v0 = 29.7 m/s

(B) horizontal component, v0x = 29.7 cos45 = 21 m/s

vertical component , v0y = 29.7 sin45 = 21 m/s

(C) t = 2 v0 sin45 / g

t = 4.3 sec

(d) maximum height, h_max = (v0 sin45)^2 / 2g

= 23 m

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