At t=0, the particle departs from x=0 with a velocity vo and an acceleration defined by the relation acceleration defined by the relation a = 5/(2vo - v) where a and vare expressed in ft/sec2 and ft/sec, respectively. Knowing that v=0.5 vo at t=2 sec, determine: a) The initial velocity of the particle. b) The time required for the particle to come to rest. c) The position where the velocity is 1 ft/sec. ANS// a) 4 ft/sec b) 4.8 sec c) 7.8ft

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter3: Motion Along A Straight Line
Section: Chapter Questions
Problem 113CP: The position of a particle moving along the x -axis varies with time according to x(t)=5.0t24.0t3 ....
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At t=0, the particle departs from x=0 with a
velocity vo and an acceleration defined by the
relation acceleration defined by the relation
a = 5/(2vo - v)
, where a and vare expressed in ft/sec2 and
ft/sec, respectively. Knowing that v=0.5 vo at
t=2 sec, determine:
a) The initial velocity of the particle.
b) The time required for the particle to come to
rest.
c) The position where the velocity is 1 ft/sec.
ANS// a) 4 ft/sec b) 4.8 sec c) 7.8ft
Transcribed Image Text:At t=0, the particle departs from x=0 with a velocity vo and an acceleration defined by the relation acceleration defined by the relation a = 5/(2vo - v) , where a and vare expressed in ft/sec2 and ft/sec, respectively. Knowing that v=0.5 vo at t=2 sec, determine: a) The initial velocity of the particle. b) The time required for the particle to come to rest. c) The position where the velocity is 1 ft/sec. ANS// a) 4 ft/sec b) 4.8 sec c) 7.8ft
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