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?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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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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