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tong (eyt88) – Homework 1 – knopf – (55420)
2
4.
m
= 2
π, c
=
1
2
5.
m
= 2
π, c
=

1
2
005
10.0 points
The position as a function of time
t
of a car
initially heading due north on IH35 is shown
in
2
4
6
2
4
time
position
List the values of
m
1
= average velocity on [4
,
5]
,
m
2
= instantaneous velocity at
t
= 3
,
m
3
= instantaneous velocity at
t
= 6
,
m
4
= average velocity on [1
,
3]
,
in increasing order.
1.
m
2
< m
3
< m
1
< m
4
2.
m
2
< m
1
< m
4
< m
3
3.
m
3
< m
1
< m
2
< m
4
4.
m
3
< m
4
< m
2
< m
1
5.
m
4
< m
1
< m
2
< m
3
6.
m
1
< m
2
< m
3
< m
4
006 (part 1 of 2) 10.0 points
When a ball is thrown vertically upward
into the air with a velocity of 80 ft/sec its
height,
y
(
t
), in feet after
t
seconds is given by
y
(
t
) = 80
t

16
t
2
.
Find the average velocity of the ball over
the interval from 4 to 4 +
h
seconds,
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This note was uploaded on 01/22/2011 for the course M 408c taught by Professor Mcadam during the Spring '06 term at University of Texas at Austin.
 Spring '06
 McAdam

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