The motion of a particle is defined by the relation x = t² - (t-2)³, where x and t are expressed in feet and seconds, respectively. Determine (a) the two positions at which the velocity is zero (b) the total distance traveled by the particle from t = 0 to t = 4 s.

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The motion of a particle is defined by the relation x= t2-(t -2)3, where x and t are expressed in feet and seconds, respectively. Determine (a) the two positions at which the velocity is zero (b) the total distance traveled by the particle from t = 0 to t = 4 s.

The motion of a particle is defined by the relation x = t² − (t− 2)³,
where x and t are expressed in feet and seconds, respectively.
Determine (a) the two positions at which the velocity is zero (b) the
total distance traveled by the particle from t = 0 to t = 4 s.
Transcribed Image Text:The motion of a particle is defined by the relation x = t² − (t− 2)³, where x and t are expressed in feet and seconds, respectively. Determine (a) the two positions at which the velocity is zero (b) the total distance traveled by the particle from t = 0 to t = 4 s.
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