At the beginning of today's free Calculus video on Finding Instantaneous Velocity, Professor Burger uses a graph of the position function for a bicycle trip he took. He's concerned he rode faster than the speed limit and is using Calculus to find out if, in fact, he did. It is possible to find his average velocity using a secant line. A secant line is a straight line that intersects a curve, in this case the graph of his trip, at two or more points. The average rate of change is equal to the slope of the secant line between the two points. In comparison, a tangent line is a line that touches but does not intersect the curve. Instantaneous rate of change is equal to the slope of the tangent line at the point it touches the curve. Prof. Burger reviews the concept of instantaneous rate, demonstrates setting up the limit and then shows how to find the instantaneous rate in today's lecture. By the end of the video you'll know how to answer the very first and most fundamental question of Calculus: How can we find instantaneous velocity?

# Finding Instantaneous Velocity

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