The figure shows the velocity v(t) of a particle moving on a horizontal coordina

Question

The figure shows the velocity v(t) of a particle moving on a horizontal coordinate line, for t in the closed interval [0, 10 2 345 6 789 10 (You can click on the graph to enlarge the image.) Note: Answer the questions below using points, lists of points, intervals, or unions of intervals, whichever is appropriate Part 1: Particle moving forward or backward (a) When does the particle move forward? Answer: (b) When does the particle move backward? Answer: Part 2: Acceleration Part 3: On the particle speed

Explanation / Answer

Particle moves forward when velocity of the particle is positive i.e., V(t)>0

From given grpah of velocity the particle move forward in the time interval (2,7)U(8,10)

Particle moves backward when velocity of the particle is negative i.e., V(t)<0

From given grpah of velocity the particle move backward in the time interval (0,2)

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