Answered: Describe how you must move to produce…

Describe how you must move to produce each of the following 3 position versus time graphs. X X t t graph 1 graph 2 graph

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Question

Describe how you must move to produce each of the following 3 position versus time graphs.
X
X
X
t
t
graph 1
graph 2
graph 3

Expert Solution

The Concept:

The slope of position time graph gives velocity (rate of change of position) i.e.

$\frac{d x}{d t} = v (1)$

A straight line graph then represents a uniform velocity motion. (a horizontal line in x-t plot would mean body is at rest)

In the given x-t plots the slopes of the graphs change with time hence its varying velocity motion i.e. accelerated motion.

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