A quarterback can throw a receiver a high, lazy "lob" pass or a low, quick "bullet" pass. These passes are indicated by curves 1 and 2, respectively, in the figure (Figure 1).The lob pass is thrown with an initial speed of 21.3 m/s and its time of flight is 3.96 s . What is its launch angle?The bullet pass is thrown with a launch angle of 22.0 ∘. What is the initial speed of this pass?What is the time of flight of the bullet pass?

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Asked Sep 18, 2019
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A quarterback can throw a receiver a high, lazy "lob" pass or a low, quick "bullet" pass. These passes are indicated by curves 1 and 2, respectively, in the figure (Figure 1).

The lob pass is thrown with an initial speed of 21.3 m/s and its time of flight is 3.96 s . What is its launch angle?

The bullet pass is thrown with a launch angle of 22.0 ∘. What is the initial speed of this pass?

What is the time of flight of the bullet pass?

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Expert Answer

Step 1

Write the expression for launch angle, and substitute 9.8m/s2 for g, 3.96s for t, and 21.3m/s for v in the below equation to find the launch angle.

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gt 0 sin 2v (9.8m/s')(3.96s) -sin 2x21.3m/s =65.64

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Step 2

Write the expression for range, and substitute 35m for R, 9.8m/s2 for g, and 22˚for...

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u sin 20 R = g Rg и %3 Vsin 20 35m x 9.8m/s2 sin 2 x 22° 35m x 9.8m/s2 sin 44 22.22m/s

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