522.sagews

Section 2.2

Sage Tool 2

This Sage file is configured for use as a simple graphing tool.

Define a parameter $k$ and a distance function $f$

k=1
var('t')
f(t)=k*t^2

Define the average speed function

g(t)=(f(t+0.001)-f(t))/0.001

plot(f,-4,4)+plot(g,-4,4,color='red')

Plot both the distance function and the approximate speed