The solution at revision #11758 of , by astrosander. This is not the current version.

Statement

1.1.15. Using the velocity-time graphs, plot the coordinate-time graphs. In cases and find the average velocity over a large time.

 For problem 1.1.15

Solution

d

 Graph-a of time dependence of coordinate
Graph-a of time dependence of coordinate

Taking into account the physical meaning of the area under the graph of velocity versus time, we obtain the graphs of the dependence of the coordinate on time.

 Graph-b of time velocity of time
Graph-b of time velocity of time

In case ), in equal time intervals, the body travels forward and backward the same distance. Consequently, for a large time, the displacement will be close to zero and the average velocity will be zero.

 Graph-c of time velocity of time
Graph-c of time velocity of time

In case ) for equal time intervals, the body is no longer travelling equal distances. For every 4 seconds, it moves in the positive direction by 4 meters.

Here we go:

Answer

a) See figure;
b) ,
c)