d) How long would it take the rock to reach half its maximum height? e) How long would the rock be aloft?
d) How long would it take the rock to reach half its maximum height? e) How long would the rock be aloft?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Only Solve part (d) and (e)
Transcribed Image Text:On Earth, in the absence of air, the rock
reach a height of s = 24t – 4.91² meters in t seconds.
a) Find the rock's velocity and acceleration at time t.
b) How long would it take the rock to reach its highest point?
c) How high would the rock go?
d) How long would it take the rock to reach half its maximum
height?
e) How long would the rock be aloft?
Expert Solution
Step 1
Given that, the equation of the motion is .
The function attains the maximum of 29.388 at x=2.449.
d)
The half of the maximum height is .
Therefore, the time that the rock to reach the half of its maximum height is .
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