Question

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?

Answer 1

Step-by-step 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