The accompanying figure shows the velocity v( t) of a particle moving on a horiz

Question

The accompanying figure shows the velocity v( t) of a particle moving on a horizontal coordinate line, for fin the closed interval [0, 10]. Click on the graph to open It In a new window. Answer the questions below using points, lists of points, intervals, or unions of intervals, whichever is appropriate. Note: Derivatives at the endpoint t = 0 shouId be right-hand derivatives, while derivatives at the endpoint t= 10 should be left-hand derivatives. When does the particle move forward? ANSWER: When does the particle move backward? ANSWER: When does the particle speed up? ANSWER: When does the particle slow down? ANSWER: When is the particles acceleration positive? ANSWER: When Is the particles acceleration negative? ANSWER: When Is the particles acceleration zero? ANSWER: When does the particle move at its greatest speed? ANSWER: When does the particle stand still for more than an instant? ANSWER:

Explanation / Answer

1: Move Forward time (1,4) & (8,10)

2: Move Backward (6,8)

3: Speed up (7,10)

4: Slow down (2,4) & (6,7)

5: Acceleration Positive (7,10)

6:Acceleration Negative(2,4) & (6,7)

7: Acceleration zero (0,2) & (4,6)

8: Greatest speed at t=10

9: Stand still for more than an instance (4,6)

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