A rock thrown vertically upward from the surface of the moon at a velocity of 32 m/sec reaches a height of s=32t-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. =m/s V = Find the rock's acceleration at time t. a= 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.) ...

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
A rock thrown vertically upward from the surface of the moon at a velocity of 32 m/sec reaches a height of s=32t-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.
=m/s
V =
Find the rock's acceleration at time t.
a= 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.)
…….
Transcribed Image Text:A rock thrown vertically upward from the surface of the moon at a velocity of 32 m/sec reaches a height of s=32t-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. =m/s V = Find the rock's acceleration at time t. a= 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.) …….
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