c
c
Kendra Kilmer January 11, 2012
Section 2.1  The Tangent and Velocity Problems
Example 1:
You decide to go on a trip along Highway 6. Your destination is 142 miles away, and it takes you
exactly 2 hours to get there.
a) What was your average velocity for the trip?
b) After you were on the road for an hour, you pass a cop with a radar gun. Assuming the speed limit was 70 mph,
were you speeding?
The table below represents the car’s position every hour:
x
0
1
2
y
0
90
142
c) Based on the table above, what was the average velocity for the first hour of the trip?
d) What was the average velocity for the second hour of the trip?
1
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Documentc
c
Kendra Kilmer January 11, 2012
e) Use the table below to estimate the instantaneous velocity when you passed the cop. The table below represents
the car’s position near the one hour mark.
x
0
.
9
0
.
99
0
.
999
1
1
.
001
1
.
01
1
.
1
y
83
.
040
89
.
318
89
.
932
90
90
.
068
90
.
678
96
.
640
Definition:
The
average velocity
of an object on the interval
t
=
a
to
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '08
 Allen
 Derivative, Miles per hour, Kendra Kilmer

Click to edit the document details