4. A computer animator is trying to make an animation of a rabbit rushing back and forth along a sidewalk. He decides to model the rabbit's velocity over time as shown in the following graph, where time is measured in seconds and velocity is measured in meters per second. velocity 3 Ampl 3 21 -14 -3 -4 <-5 2 time 9 10

10) An advertisement for the newest model of a Mercedes sports claims the car can go from 0 to 60 miles per hour (mph) in just 3.3 seconds! a) How many meters per second (m/s) is 60 mph? b) In m/s² (sometimes written as m/s/s also, just so you know), what is the supposed acceleration of the sports car?

1#2 Chapter 2 - The Derivative Function 89 The distance a person can walk in time t is given by d =vt where d is measured in miles and t is measured in hours. %3D a) Find the average velocity from t= 1 tot=4 hours. b) Estimate the person's velocity at t = 4 hours. A ball is dropped from a tall building and d is the number of feet it falls in t seconds. The following table shows some of the values of t and d. t (sec) 1 3. 4. 0. 0. d (ft) 15.07 57.90 | 127.03 201.76 |333.00 a) Plot the six data points. Label the axes and indicate the units that are being used. b) The slope of any secant line on the graph is a measure of velocity. Why? of the follin g bell ot t c) Make throo a

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2. Frankie and Rosie take a trip in a car from one town to the next. During the trip several different average speeds are driven based on traffic. Frankie drives for 16.4 miles at 22.0 m/s, 14.5 miles at 26.0 m/s, and 30.2 miles at 18.0 m/s. As part of this trip Frankie and Rosie stop to eat dinner at a diner for about 35.0 minutes. Calculate the total time for the entire trip in minutes. o straight portion of a track