Draw motion diagrams for (a) an object moving to the right at constant speed, (b) an object moving to the right and speeding up at a constant rate, (c) an object moving to the right and slowing down at a constant rate, (d) an ob- ject moving to the left and speeding up at a constant rate, and (e) an object moving to the left and slowing down at a constant rate. (f) how would your drawings change if the changes in speed were not uniform, that is, if the speed were not changing at a constant rate?

Explanation:

We have two types of diagrams those of displacement against time (x -t) and those of velocity against time (v-t)

In the attacheds you can see the drawings, they are not to scale

a)  In this case the velocity is constant we can see that the graph of x-t is a straight line where the slope is the value of the velocity x = v t

b)  In the second case the body accelerates x = ½ a t², in the diagram in the graph of x-t it is a parabolic curve and in the graph of v-t we have a line whose slope is the acceleration

c)  In the third case the body is braking, again in a diagram of x-t we have a parabola and of v-t a line, but with negative slope

d)  This situation is similar to case b, but on the negative side of the x-axis, see case a diagram

e) Similar case b

f)   If the velocity does not change uniformly, we cannot use the above formulas since they all assume uniform acceleration even at intervals where it can have different values

the answer would be c. motion and direction

i hope this : )

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