The position of a particle which moves along the straight line is define by the relation x(t) = t – 6t? – 15t + 40 where x and t are expressed in meters and seconds respectively. Note that the coefficients of t have dimensions accordingly. 1 Determine when the velocity of the particle is zero. 2 Calculate the position vector and distance travelled by the particle when the acceleration is zero. Consider that at the starting point time t = 0 sec. 3, Does the particle move at constant velocity or constant acceleration? Justify your answer.

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Chapter1: Units, Trigonometry. And Vectors
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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.
Determine when the velocity of the particle is zero.
2 Calculate the position vector and distance travelled by the particle when the
acceleration is zero. Consider that at the starting point timet = 0 sec.
3, Does the particle move at constant velocity or constant acceleration? Justify
your answer.
Transcribed Image Text: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. Determine when the velocity of the particle is zero. 2 Calculate the position vector and distance travelled by the particle when the acceleration is zero. Consider that at the starting point timet = 0 sec. 3, Does the particle move at constant velocity or constant acceleration? Justify your answer.
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