SITUATION 2. The motion of a particle in rectilinear motion is defined by the relation x = t³ - 8t² + 16t5, where x and t are expressed in meters and seconds respectively. Determine the following: a. The time when the velocity is zero. b. The position and acceleration at those instants of time when the velocity is zero. c. The position, displacement, and the total distance travelled when the acceleration is zero.

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter2: One Dimensional Motion
Section: Chapter Questions
Problem 30PQ: A The instantaneous speed of a particle moving along one straight line is v(t) = ate5t, where the...
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SITUATION 2. The motion of a particle in rectilinear motion is defined by the relation x = t³ - 8t² +
16t - 5, where x and t are expressed in meters and seconds respectively. Determine the following:
a. The time when the velocity is zero.
b. The position and acceleration at those instants of time when the velocity is zero.
c. The position, displacement, and the total distance travelled when the acceleration is zero.
Transcribed Image Text:SITUATION 2. The motion of a particle in rectilinear motion is defined by the relation x = t³ - 8t² + 16t - 5, where x and t are expressed in meters and seconds respectively. Determine the following: a. The time when the velocity is zero. b. The position and acceleration at those instants of time when the velocity is zero. c. The position, displacement, and the total distance travelled when the acceleration is zero.
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