# Chapter 2 - Motion Along a Straight Line - Problems - Page 33: 16e

#### Work Step by Step

We use the online graphical calculator desmos.com to develop the graph: First, Label the horizontal axis: t label the vertical axis: x x is a function of t, but x is also a reserved variable name. Therefore, if you enter x(t)=4.0+6.0$t^{2}$, the calculator will assume that x is on the horizontal axis, and the graph will be sideways. That is why choose a slightly different name for the function: $x_{1}(t)$. After entering the expression, in the braces, we confine the domain to $t\in[-5,5]$. We then adjust the viewing window: $[-10,10]\times[-150,50]$ (this, along with the labels, is set with the "wrench" button in the top right corner). As a result, the graph shown above is formed.

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