MATH 1271 Lecture Notes - Lecture 2: Bouncing Ball
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2. 1- rates of change the red line is a secant line to f through x=a and x=b. The blue line is a tangent line to f at x=a. You drive 90 minutes and cover 110 miles in that time. What was your average speed? average speed = 110 miles/1. 5 hours = distance traveled/ traveling time. The formula is a ratio of distance traveled to traveling time. We could also think of this as position/ time ( =delta=change in) Average speed- speed averaged over a time interval. Instantaneous speed- speedometer reading at a specific time. Bouncing ball has height h(t) at time t seconds after it is dropped. Find the average velocity of the ball from time t=1 to t=2. If f is any function with [a,b] contained in its domain, we define the average rate of change of f over [a,b] (from x=a to x=b) by average.
