Review for Sections 2.1 and 2.2 https://www.youtube.com/watch?v=Lalm4fubOOI What happens if you drop a watermelon off a 100 foot building??? Well we know that the position can be found by s(t ) 16t 2 100 . Let’s approximate the instantaneous velocity of the watermelon at time t = 1. What is the average velocity (average r.o.c.) from 1 second to 2 seconds? s (2) s (1) 2 1 What is that average velocity over the interval t = 1 to t = 1.1? s (1.1) s (1) 1.1 1 Now let’s use the definition of the derivative to see how fast the watermelon was falling to the ground after 1 second. lim h 0 f (1 h) f (1) 1 h 1 Let’s use the power rule to find the velocity (derivative) at 1 second.