A football quarterback shows off his skill by throwing a pass 45.20 m downfield and into a bucket. The quarterback consistently launches the ball at 40.00 ∘ above horizontal, and the bucket is placed at the same level from which the ball is thrown.

1. What initial speed is needed so that the ball lands in the bucket?

2. By how much would the launch speed have to be increased if the bucket is moved to 48.50 m downfield?

Question

Physics

Jaydan Sanders

1 March, 16:24

A football quarterback shows off his skill by throwing a pass 45.20 m downfield and into a bucket. The quarterback consistently launches the ball at 40.00 ∘ above horizontal, and the bucket is placed at the same level from which the ball is thrown.

1. What initial speed is needed so that the ball lands in the bucket?

2. By how much would the launch speed have to be increased if the bucket is moved to 48.50 m downfield?

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Answers (1)

Know the Answer?

Piper Leblanc · Answer 1

(1) 46.30m/s

(2) The launch speed has to increase by 1.66 m/s

Explanation:

(1) Initial speed (u) = sqrt (2hg/sin^2A)

h = 45.20m, g = 9.8m/s^2, A = 40°

u = sqrt (2*45.2*9.8/sin^2 40°) = sqrt (2144.05) = 46.30m/s

(2) (u+46.30) = sqrt (2*48.50*9.8/sin^2 40°)

u+46.30 = sqrt (2300.58)

u+46.30 = 47.96

u = 47.96 - 46.30 = 1.66m/s

Launch speed has to increase by 1.66m/s