jiwani (amj566) – Homework02 – Fouli – (58395)
2
5.
time
position
6.
time
position
correct
Explanation:
When the position of the car is plotted
against time, the slope of the graph indicates
the speed of the car, the greater the slope, the
greater the speed, and the car is stationary
when the slope is zero. Thus of the graphs,
only
time
position
has the given properties.
003
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 [3
,
6]
,
m
2
= instantaneous velocity at
t
= 3
,
m
3
= average velocity on [1
,
2]
,
m
4
= instantaneous velocity at
t
= 5
,
in increasing order.
1.
m
4
, m
1
, m
2
, m
3
correct
2.
m
1
, m
2
, m
3
, m
4
3.
m
2
, m
3
, m
1
, m
4
4.
m
3
, m
4
, m
2
, m
1
5.
m
3
, m
1
, m
2
, m
4
6.
m
2
, m
1
, m
4
, m
3
Explanation:
If
s
(
t
) denotes the position of the car at
time
t
, then the average velocity over the time
interval [
a, b
] is the slope
s
(
b
)
−
s
(
a
)
b
−
a