65. A varsity soccer player kicks a soccer ball approximately straight upward with an initial velocity of 60 ft/sec. The ball leaves the player's foot at a height of 2 ft. a. Use the formlua s = - gt + vot + so to write a model representing the height of the ball s (in ft), t seconds after being kicked. Assume that the acceleration due to gravity is g = 32 ft/sec?. b. Determine the times at which the ball is 52 ft in the air.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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65. A varsity soccer player kicks a soccer ball approximately
straight upward with an initial velocity of 60 ft/sec. The
ball leaves the player's foot at a height of 2 ft.
a. Use the formlua
s = - gt + vot + so
to write a model
representing the height
of the ball s (in ft),
t seconds after being
kicked. Assume that
the acceleration due to
gravity is g = 32 ft/sec?.
b. Determine the times at which the ball is 52 ft in the air.
Transcribed Image Text:65. A varsity soccer player kicks a soccer ball approximately straight upward with an initial velocity of 60 ft/sec. The ball leaves the player's foot at a height of 2 ft. a. Use the formlua s = - gt + vot + so to write a model representing the height of the ball s (in ft), t seconds after being kicked. Assume that the acceleration due to gravity is g = 32 ft/sec?. b. Determine the times at which the ball is 52 ft in the air.
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