The polynomial relationship between position and time for the bowling ball is linear.
What is a linear relationship between two variables?
A linear relationship between two variables is a term used to describe a straight-line relationship between the two variables.
Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.
From the equation of linear relationship between two variable, the highest power of x is one.
The given equation for position and time;
x(t) = vot + xo
From this given equation, the highest power of t is one, hence it is called linear relationship.
Thus, the polynomial relationship between position and time for the bowling ball is linear.
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