Problem

Motion of a particle The position at time t ≥ 0 of a particle moving along a coordinate...

Motion of a particle The position at time t ≥ 0 of a particle moving along a coordinate line is

a. What is the particle’s starting position (t = 0)?

b. What are the points farthest to the left and right of the origin reached by the particle?

c. Find the particle’s velocity and acceleration at the points in part (b).

d. When does the particle first reach the origin? What are its velocity, speed, and acceleration then?

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