2) Problem : You must believe that the coyote is falling at one specific speed at any time during his fall to the ground. Your task here is to find the coyote’s exact speed at each full second of his fall.

Once we know this information you can develop a rule that will allow you to find the coyote;d exact speed at any time.

What we know so far.

At t=0 the coyote’s exact downward speed is zero. At t=5 seconds his exact speed is 160 ft/sec

a) Calculate the coyote’s exact speed at 3 seconds. Start by calculating the average speed of the coyote from 2.5 seconds to 3 seconds. What is the average speed from 2.8 seconds to 3 seconds? From 2.9 seconds to 3 seconds? From 2.99 seconds to 3 seconds? At some point you will see what number these average speeds are approaching. How many of these average speeds must you calculate? As many as needed for you to see what the exact speed is at 3 seconds.

b) Calculate the coyote’s exact speed at 1 second.

c) Calculate the coyote’s exact speed at 2 and 4 seconds.

4. Complete the following table:

Time in seconds height above the ground exact speed (ft/sec)

0 400 0

1

2

3

4

5 0 160