Alex hits a soccer ball from the top of a 30 foot tall building and it followed the projectile s(t) = – 16t2 + 355t + 30, where t is the time in seconds, and s(t) is the height of the ball above the ground (measured in feet). a) What are the coordinates of the highest point that her soccer ball reached? Show your work. b) How long will the ball be in the air before it hits the ground again? Show your work. c) Find the practical domain and range for this situation.

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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Alex hits a soccer ball from the top of a 30 foot tall building and it followed
the projectile s(t) = – 16t² + 355t + 30, where t is the time in seconds,
and s(t) is the height of the ball above the ground (measured in feet).
a) What are the coordinates of the highest point that her soccer ball
reached? Show your work.
b) How long will the ball be in the air before it hits the ground again? Show
your work.
c) Find the practical domain and range for this situation.
Transcribed Image Text:Alex hits a soccer ball from the top of a 30 foot tall building and it followed the projectile s(t) = – 16t² + 355t + 30, where t is the time in seconds, and s(t) is the height of the ball above the ground (measured in feet). a) What are the coordinates of the highest point that her soccer ball reached? Show your work. b) How long will the ball be in the air before it hits the ground again? Show your work. c) Find the practical domain and range for this situation.
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