The time when the particle is at rest is at 1.63 s or 3.36 s.
The velocity is positive at when the time of motion is at .
The total distance traveled in the first 10 seconds is 847 m.
<h3>When is a particle at rest?</h3>- A particle is at rest when the initial velocity of the particle is zero.
The time when the particle is at rest is calculated as follows;
s(t) = 2t³ - 15t² + 33t + 17
The velocity is positive at when the time of motion is as follows;
.
The total distance traveled in the first 10 seconds is calculated as follows;
Learn more about motion of particles here: brainly.com/question/11066673