Question

In figure shows the position of a particle moving on the X-axis as a function of time.
(a) The particle has come to rest 6 times.
(b) The maximum speed is at t = 6s.
(c) The velocity remains positive for t = 0 to t = 6s.
(d) The average velocity for the total period shown is negative.
Figure

Answer 1

Answer:

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Answer 2

The position of a particle moving on the X-axis as a function of time, the particle has come to rest 6 times.    

Option (a) The particle has come to rest 6 times.      

Explanation:

Option (a) is true :

• Slope of the curve at any point gives the velocity (v) of the particle at that point.
• In the given graph the curve has 3 troughs and 3 crests.
• At these points the slope of the curve (tangent is horizontal to time (t)  axis) is zero.
• So at 6 points velocity (v)  is 0, means it has come to rest.

Option (b) is not true because slope of the curve is not maximum at t=6 second.  

Option (c) is not true because gradient of the slope is not +ve  always between t = 0 second to t = 6 second.  

Option (d) is not true because the final displacement ($d_2$) is not less than the initial ($d_1$).

Thus, option (a) is true.