- #1

isukatphysics69

- 453

- 8

## Homework Statement

## Homework Equations

log(y) = mlog(x)+log(k)

y=kx

^{m}

## The Attempt at a Solution

Determine the exponent m and coefficient k of the power law that best fits your data. Is the acceleration directly or inversely proportional?

Taking some points on the graph to get the slope

(0.78 - 0) / (2.28 - 1.52) = 1.026315789 = slope

finding the y intercept

y = mx + b

b = -mx + y

when y is 0 x is 1.52 so

b = -1.026315789*1.52 = -1.559999999

Now to the question

k = 10

^{-1.559999999}= 0.02754228

m = 10

^{1.026315789}= 10.6246783

function is now

0.02754228*x

^{10.6246783]}

This looks like an exponential function. So on the log log graph it looks linear and on the normal graph it looks exponential. I am unsure how to determine if that is inversely or directly proportional. I am thinking inversely.