The position of a particle along a straight line is given by s= 1.01³-11.5t² + 25t ft, where t is in seconds.[Select](a) Determine the position of the particle when t = 8 seconds in feet.[Select][Select][Select](b) Total distance it travels during the 8 second time interval in feet(c) Determine the velocity of the particle when t = 8 seconds in ft/sec.(d) Determine the acceleration of the particle when t = 8 seconds in ft/sec².

v=dsdt=3t2-23t+25 at=dvdt=6t-23

Answered: The position of a particle along a…

Engineering

Civil Engineering

The position of a particle along a straight line is given b (a) Determine the position [Select]

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

Problem 29P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

The position of a particle along a straight line is given by s= 1.01³-11.5t² + 25t ft, where t is in seconds.
[Select]
(a) Determine the position of the particle when t = 8 seconds in feet.
[Select]
[Select]
[Select]
(b) Total distance it travels during the 8 second time interval in feet
(c) Determine the velocity of the particle when t = 8 seconds in ft/sec.
(d) Determine the acceleration of the particle when t = 8 seconds in ft/sec².

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