For a typical foul shot, the rim center is 4.2 mhorizontally and 1 meter above where the ball is lasttouched; ball duration in the air is 1.00 seconds beforerim contact. [ d) what should be the ball's initial velocity angle(above horizontal)? ]-3.90 m/s+3.90 m/s+7.80 m/s+5.90 m/s-9.80 m/s+1.00 m/s+11.80 m/s-7.80 m/s

Answered: [ d) what should be the ball's initial…

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Physics

[ d) what should be the ball's initial velocity angle (above horizontal)? ]

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

For a typical foul shot, the rim center is 4.2 m
horizontally and 1 meter above where the ball is last
touched; ball duration in the air is 1.00 seconds before
rim contact.

[ d) what should be the ball's initial velocity angle
(above horizontal)? ]
-3.90 m/s
+3.90 m/s
+7.80 m/s
+5.90 m/s
-9.80 m/s
+1.00 m/s
+11.80 m/s
-7.80 m/s

Expert Solution

Step 1

In horizontal direction by

Sx = Ux × t

Ux = 4.2/1 = 4.2 m/s

In vertical direction by

Sy = Uy × t + (1/2)ay × t^2

1 = Uy - (9.8/2)

Uy = 4.9 m/s

So, initial velocity angle

Theta = tan^-1(4.9/4.2) = 49.4°

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