1. The position of a particle which moves along the straight line is define by the relation x(t) = t³ – 6t? – 15t + 40 where x and t are expressed in meters and seconds respectively. Note that the coefficients of t have dimensions accordingly.

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1. The position of a particle which moves along the straight line is define by the relation
x(t) = t3 – 6t2 – 15t + 40 where x and t are expressed in meters and seconds respectively.
Note that the coefficients of t have dimensions accordingly.
Transcribed Image Text:1. The position of a particle which moves along the straight line is define by the relation x(t) = t3 – 6t2 – 15t + 40 where x and t are expressed in meters and seconds respectively. Note that the coefficients of t have dimensions accordingly.
a. Determine when the velocity of the particle is zero.
b. Calculate the position vector and distance travelled by the particle when the
acceleration is zero. Consider that at the starting point time tt = 0 sec.
c. Does the particle move at constant velocity or constant acceleration? Justify
your answer.
Transcribed Image Text:a. Determine when the velocity of the particle is zero. b. Calculate the position vector and distance travelled by the particle when the acceleration is zero. Consider that at the starting point time tt = 0 sec. c. Does the particle move at constant velocity or constant acceleration? Justify your answer.
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