Final answer:
Using the kinematic equations, the football reaches a height of approximately 30.625 meters, rounded to the nearest option given, is B. 50 meters.
Step-by-step explanation:
The question is asking to calculate the maximum height reached by a punted football with a hang time of 5 seconds. To solve this, we can use the kinematic equations for projectile motion in Physics. Hang time refers to the time a projectile is in the air, which for symmetrical projectile motion, is twice the time it takes to reach the maximum height.
Since the acceleration due to gravity (g) is approximately 9.8 m/s2, and the ball takes half of the hang time to reach the max height (2.5 seconds), we can use the equation h = 1/2 g t2 to find the height.
Plugging the values into the equation, we get h = 1/2 × 9.8 m/s2 × (2.5 s)2, which equals 30.625 meters. However, since the options provided do not include this exact value, we need to select the closest one. Hence, the answer is B. 50 meters, assuming that we are supposed to round to the nearest available option.