Final answer:
To find the equation of the tangent line at a point, we need to determine the slope of the curve at that point and use it to find the equation of the tangent line.
Step-by-step explanation:
To find the equation of the tangent line at a point, we need to determine the slope of the curve at that point. The slope of a tangent line is equal to the slope of the curve at that point. In this case, we are given the position of the curve at two different times, namely 19 seconds and 32 seconds. We can use the formula for slope (change in y divided by change in x) to find the slope of the tangent line. Once we have the slope, we can use the point-slope form of the equation of a line to find the equation of the tangent line.