Question

A ball thrown in space where there is virtually zero gravity would travel in a straight line at a constant speed. The data below was collected.

$\begin{array}{c|c} \text{Time (s)} & \text{Distance (ft)} \\ \hline 10 & 5.70 \\ 0.2& 8.5 \\ 0.5& 16.6 \\ 0.7& 22.0 \\ 1.5& 43.6 \end{array}$

Find an equation giving the distance traveled as a function of time.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 3We can use the *two-point form* formula to identify the line with two points which can be expressed by the equation:

$\begin{aligned} \frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1} \end{aligned}$

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