A rock thrown vertically upward from the surface of the moon at a velocity of 16 m/sec reaches a height of s=16t-0.81² 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?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
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A rock thrown vertically upward from the surface of the moon at a velocity of 16 m/sec reaches a height of s= 16t-0.8t² 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 16 m/sec reaches a height of s= 16t-0.8t² 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?
a. Find the rock's velocity at time t.
V=
m/s
Find the rock's acceleration at time t.
m/s²
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
b. How long does it take the rock to reach its highest point?
sec
(Simplify your answer.)
c. How high does the rock go?
0
(Simplify your answer.)
d. How long does it take the rock to reach half its maximum height?
sec
(Simplify your answer. Round to two decimal places as needed. Use a comma to separate answer
Jaffn
Transcribed Image Text:a. Find the rock's velocity at time t. V= m/s Find the rock's acceleration at time t. m/s² (Simplify your answer. Use integers or decimals for any numbers in the expression.) b. How long does it take the rock to reach its highest point? sec (Simplify your answer.) c. How high does the rock go? 0 (Simplify your answer.) d. How long does it take the rock to reach half its maximum height? sec (Simplify your answer. Round to two decimal places as needed. Use a comma to separate answer Jaffn
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