Ichiro throws a baseball with an initial speed of 145 feet per second at an angle of 20° to the horizontal.The ball leaves Ichiro’s hand at a height of 5 feet. (a) Find parametric equations that model the position of the ball as a function of time. (b) How long is the ball in the air? (c) Determine the horizontal distance that the ball travels. (d) When is the ball at its maximum height? Determine the maximum height of the ball. (e) Using a graphing utility, simultaneously graph the equations found in part (a).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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Ichiro throws a baseball with an initial speed of 145 feet per second at an angle of 20° to the horizontal.The ball leaves Ichiro’s hand at a height of 5 feet.

(a) Find parametric equations that model the position of the ball as a function of time.

(b) How long is the ball in the air?

(c) Determine the horizontal distance that the ball travels.

(d) When is the ball at its maximum height? Determine the maximum height of the ball.

(e) Using a graphing utility, simultaneously graph the equations found in part (a).

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