An object moving along a horizontal coordinate line has directed distance s(t) = 4t³ +9t² - 30t + 5 feet at the end of t seconds. (a) Give the the instantaneous velocity and instantaneous acceleration of the particle at any time t. (b) Determine the time intervals when the object is speeding up or slowing down. (c) Give the total distance covered by the object after 2 seconds.
An object moving along a horizontal coordinate line has directed distance s(t) = 4t³ +9t² - 30t + 5 feet at the end of t seconds. (a) Give the the instantaneous velocity and instantaneous acceleration of the particle at any time t. (b) Determine the time intervals when the object is speeding up or slowing down. (c) Give the total distance covered by the object after 2 seconds.
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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Transcribed Image Text:An object moving along a horizontal coordinate line has directed
distance s(t) = 4t³ +9t² - 30t + 5 feet at the end of t seconds.
(a) Give the the instantaneous velocity and instantaneous acceleration of
the particle at any time t.
(b) Determine the time intervals when the object is speeding up or slowing
down.
(c) Give the total distance covered by the object after 2 seconds.
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