5. At time t = 0 a ball is thrown straight up at 208 feet per second from the top of a 2688 foot tall building. Assuming Earth's gravity is a(t) = -32 feet per second?: a. Find the position and velocity functions of the ball. Be sure to label which is which. b. What is the ball's maximum height above the ground? c. When does the ball hit the ground?

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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5. At time t = 0 a ball is thrown straight up at 208 feet per second
from the top of a 2688 foot tall building. Assuming Earth's gravity
is a(t) = –32 feet per second²:
a. Find the position and velocity functions of the ball. Be sure to
label which is which.
b. What is the ball's maximum height above the ground?
c. When does the ball hit the ground?
Transcribed Image Text:5. At time t = 0 a ball is thrown straight up at 208 feet per second from the top of a 2688 foot tall building. Assuming Earth's gravity is a(t) = –32 feet per second²: a. Find the position and velocity functions of the ball. Be sure to label which is which. b. What is the ball's maximum height above the ground? c. When does the ball hit the ground?
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