# Graphs used to model motion.

Demonstrate the use of graphs to model motion by explaining how such models are created, and how the interpretation of the results depend upon the assumptions made.

Â© BrainMass Inc. brainmass.com December 24, 2021, 4:48 pm ad1c9bdddfhttps://brainmass.com/math/graphs-and-functions/8200

#### Solution Preview

Graphs are always helpful in understanding any phenomena. Just by going through the graph at a glance one can conclude to 1st order.

In modelling the motion, graphs are very helpful. Generally, graphs are drawn: displacement vs time, velocity vs time, acceleration vs time, velocity vs displacement etc.

For example take the case of uniform accelerating motion: model

i.e., a (acceleration) = constant

=> a = dv/dt = constant

In this case we can use three standard formulae;

v = u + a*t

s = u*t + (1/2)*a*t^2

v^2 = u^2 + 2*a*s

where, u is the ...

#### Solution Summary

Graphs thare used to model motion are examined and their applications are discussed.