!10 ft 8.5 ft 13.75 ft Figure 20

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter53: Introduction To Triangles
Section: Chapter Questions
Problem 1A: Determine the values of 2, 3, and 4 if l is 113.
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For an NBA regulation basketball court, the hoop is 10 feet above the ground, and the horizontal distance from the center of the hoop to the free throw line is 13.75 feet.
In making a free throw, the player releases the ball approximately 8.5 feet directly above the free throw line (see Figure 20). The ball reaches the center of the hoop 0.98 second later. The path of the ball can be described by the parametric equations
x = (|V0| cos θ)t
y = (|V0| sin θ)t -16t2 + 8.5
where x is the distance (in feet) traveled horizontally and y is the height (in feet) of the ball above the ground t seconds after the ball is released. Find the initial speed |V0| and the angle θ at which the basketball is thrown.

 

!10 ft
8.5 ft
13.75 ft
Figure 20
Transcribed Image Text:!10 ft 8.5 ft 13.75 ft Figure 20
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