The location of a certain particle that is only limited to move along a linear direction is given by S = 2t^3 – 24t + 6, such that the unit of s is in meters from an acceptable origin and t is measured in seconds. Solve for the following: -The time needed for that certain particle to attain a velocity of 72 m/s from rest when t = 0. -The acceleration of the particle when it reaches V = 30 m/s -Net displacement in meters from t = 1 second to t = 4 seconds

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter8: Time And Time-related Variables In Engineering
Section: Chapter Questions
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1.The location of a certain particle that is only limited to move along a linear direction is given by

S = 2t^3 – 24t + 6, such that the unit of s is in meters from an acceptable origin and t is measured in seconds. Solve for the following:

-The time needed for that certain particle to attain a velocity of 72 m/s from rest when t = 0.

-The acceleration of the particle when it reaches V = 30 m/s

-Net displacement in meters from t = 1 second to t = 4 seconds

1. The location of a certain particle that is
only limited to move along a linear
direction is given by
S = 2t^3 – 24t + 6, such that the unit of s is in
meters from an acceptable origin and t is
measured in seconds. Solve for the following:
1. The time needed for that certain particle to
attain a velocity of 72 m/s from rest when t
= 0.
2. The acceleration of the particle when it
reaches V = 30 m/s
3. Net displacement in meters from t = 1
second to t = 4 seconds
Transcribed Image Text:1. The location of a certain particle that is only limited to move along a linear direction is given by S = 2t^3 – 24t + 6, such that the unit of s is in meters from an acceptable origin and t is measured in seconds. Solve for the following: 1. The time needed for that certain particle to attain a velocity of 72 m/s from rest when t = 0. 2. The acceleration of the particle when it reaches V = 30 m/s 3. Net displacement in meters from t = 1 second to t = 4 seconds
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