In the football game between NM and JL. It's the end of the second half and the cougars are attempting a miraculous 50 yard field goal. The football is kicked at angle of 25 degree with the horizontal at a speed of 60mph. Find the initial velocity of the ball V in the feet/sec

Question

Byron Woodard

Mathematics

1 May, 09:55

In the football game between NM and JL. It's the end of the second half and the cougars are attempting a miraculous 50 yard field goal. The football is kicked at angle of 25 degree with the horizontal at a speed of 60mph. Find the initial velocity of the ball V in the feet/sec

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Answers (1)

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Sasha Fischer · Answer 1

88.02 ft/s

Step-by-step explanation:

Angle with the horizontal, θ = 25°

Initial velocity, v = 60 mph

1 mph = 1.467 ft/s

60 mph = 60 * 1.467 ft/s = 88.02 ft/s

Vertical component, v sin θ = 88.02 sin 25° = 37.2 ft/s

Horizontal component, v cos θ = 88.02 cos 25° = 79.8 ft/s