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Figure 2-20 gives the velocity of a particle moving along an axis Point 1 is at the highest point on the Figure2-19 Question 4 curve; point 4 is at the lowest point; and points 2 and 6 are at the same height. What is the direction of travel at (a) time-0 and (b) point 4? (c) At which of the six numbered points does the particle reverse its direction of travel? (d) Rank the six points according to the magnitude Roure 2-20 of the acceleration, greatest first.
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Mahesh Godavarti
1

I think you meant the following question:



a) Direction of travel at time t = 0 is in the positive  direction  of the axis since the value of the velocity at t = 0 is positive.


b) Direction of travel at point 4 is in the negative direction of the axis since the velocity at point 4 is negative


c) The particle reverses its direction of travel at points 3 and 5 as the velocity changes from positive to negative at point 3 and negative to positive at point 5.


d) magnitude of acceleration is given by the slope of the graph. The slope of the graph at points 1 and 4 is zero.


The slope of the graph is negative at points 2 and 3 with the slope being more negative at 2 than 3.


The slope of the graph is positive at points 5 and 6 with the slope being more positive at 6 than 5.


Therefore, the ranking is 6 > 5 > 4 = 1 > 3 > 2.