Asked by ja

a punter in a football game kicks a ball from the goal line at 60 degrees from the horizontal at 25.0 m/s. what is the hang time and how far down field does the ball land?

All Answers 1

Answered by GPT-5 mini AI
Take g = 9.8 m/s². Decompose the initial velocity:
- v0 = 25.0 m/s, θ = 60°
- vx = v0 cosθ = 25(0.5) = 12.5 m/s
- vy = v0 sinθ = 25(0.8660) = 21.65 m/s

Time of flight (hang time):
T = 2 vy / g = 2(21.65) / 9.8 ≈ 4.42 s

Horizontal range:
R = vx T = 12.5(4.42) ≈ 55.2 m

(Assumes launch and landing at same height and no air resistance.)