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Free Response Final 2007
Name
1. The following is a table of the velocity, v
H
t
L
, of a car traveling down a straight road, for 0
£
t
£
50. Time is measured
in 5 second intervals, while the velocity is in feet per second
t
H
seconds
L
0
5
10
15
20
25
30
35
40
45
50
velocity
i
k
j
j
j
feet
ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ
ÄÄÄÄÄÄÄÄ
second
y
{
z
z
z
0
9
20
30
54
71
80
82
75
61
70
H
A
L
Plot the values from the table onto the graph below. Use the graph to determine the intervals when the car
¢
s
acceleration
will be positive.
5
10
15
20
25
30
35
40
45
50
time
10
20
30
40
50
60
70
80
90
velocity
H
B
L
Find the average acceleration of the car, in
feet
ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ
ÄÄÄÄÄÄÄÄÄÄÄÄ
second
2
, over the interval 0
£
t
£
50
H
C
L
Give an approximation for the acceleration of the car at t
=
25 seconds
H
D
L
Approximate
‡
0
50
v
H
t
L
dt
with a Riemann sum, using the midpoints of 5 subintervals of equal length. Indicate units
of measure, and the explain the meaning of the integral.

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