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Graphically represent the relationship between velocity and time for the object

ID: 2288461 • Letter: G

Question

Graphically represent the relationship between velocity and time for the object described above. e. -- :t (s) f. From your velocity vs. time graph determine the total displacement of the objec. 2. The graph below represents the motion of an object. At what point(s) on the graph above is the object moving most slowly? (How do you know?) a. b. Over what intervals on the graph above is the object speeding up? (How do you know?) Over what intervals on the graph above is the object slowing down? (How do you know?) c. d. At what points) on the graph above is the object changing direction? (How do you know?) d. At what point(s) on the graph above is the object changing direction? (How do you know?) Modeling Workshop Project 2002 Unit III ws3 v2.0

Explanation / Answer

I will answer questions under 2.

2.

a. At points B and F on the graph, the object is moving most slowly. This can be said because, at these positions, x remains relatively same for different values of t, which implies there is hardly any change in position with time.

b. At intervals origin-A, A-B, F-G, and G-end on the graph, the object is speeding up. This can be said because, at these positions, dx (that is, xfinal - xinitial) is positive for change in respective time intervals. v = dx / dt = positive

c. At intervals B-C, C-D, D-E, and E-F on the graph, the object is slowing down. This can be said because, at these positions, dx (that is, xfinal - xinitial) is negative for change in respective time intervals. v = dx / dt = negative.

d. At point D on the graph, the object is changing the direction. This can be said because, from this point onwards, the displacement x is negative which indicates the change in direction.

Hope that helps.