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A 2.0-m-tall basketball player is standing on the floor a distance d from the basket, as...

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Physics

A 2.0-m-tall basketball player is standing on the floor adistance d from the basket, as shown in the figure below.He shoots the ball at an angle of 40.0o above the horizontal with aspeed of 10.67 m/s and makes the shot. The height of the basket is3.05 m. What is d

please make sure its detailed.

Answer & Explanation Solved by verified expert
4.1 Ratings (646 Votes)

components of the initial velocity is given as :

on horizontal, Vix = Vi Cos 400                                  { eq. 1 }

where, Vi = 10.67 m/s

Vix = (10.67 m/s) (0.766)

Vix = 8.17 m/s

on vertical, Viy = Vi Sin 40                                  { eq. 2 }

Viy = (10.67 m/s) (0.642)

Viy = 6.85 m/s

using equation of motio,

Vix2 = Viy2 + 2 as                            { eq. 3 }

inserting the values in above eq.

(8.17)2 = (6.85)2 + 2 (9.8) s

66.74 = 46.92 + 19.6 s

19.6 s = 19.82 m

s = 10 m
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