A rock thrown vertically upward from the surface of the moon at a velocity of 36 m/sec reaches a height of s = 36t – 0.8t meters in t sec. a. Find the rock's velocity and acceleration at time t. b. How long does it take the rock to reach its highest point? c. How high does the rock go? d. How long does it take the rock to reach half its maximum height? e. How long is the rock aloft?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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A rock thrown vertically upward from the surface of the moon at a velocity of 36 m/sec reaches a height of s = 36t – 0.8t meters in t sec.
a. Find the rock's velocity and acceleration at time t.
b. How long does it take the rock to reach its highest point?
c. How high does the rock go?
d. How long does it take the rock to reach half its maximum height?
e. How long is the rock aloft?
Transcribed Image Text:A rock thrown vertically upward from the surface of the moon at a velocity of 36 m/sec reaches a height of s = 36t – 0.8t meters in t sec. a. Find the rock's velocity and acceleration at time t. b. How long does it take the rock to reach its highest point? c. How high does the rock go? d. How long does it take the rock to reach half its maximum height? e. How long is the rock aloft?
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