12.A point moves along a straight line OX so that its distance x cm. from the point O at time t sec. is given by the formula x = f - 6t + 9t . Find : i)at what times and in what positions the point will have zero velocity . ii) its acceleration at these instants. iii) its velocity when its acceleration is zero.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.27P
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12.A point moves along a straight line OX so that its distance x cm.
from the point O at time t sec. is given by the formula
x = ť - 6t + 9t . Find :
i)at what times and in what positions the point will have zero
velocity .
ii) its acceleration at these instants.
iii) its velocity when its acceleration is zero.
Transcribed Image Text:12.A point moves along a straight line OX so that its distance x cm. from the point O at time t sec. is given by the formula x = ť - 6t + 9t . Find : i)at what times and in what positions the point will have zero velocity . ii) its acceleration at these instants. iii) its velocity when its acceleration is zero.
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