AP Calculus BC Quiz
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LIMITS AND CONTINUITY
Question 1
of 20
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A runner's distance is
d
(
t
)
=
100
t
1
/
2
d(t)=100\,t^{1/2}
d
(
t
)
=
100
t
1/2
meters; what does
d
′
(
9
)
d'(9)
d
′
(
9
)
represent?
A
The runner's average speed from
t
=
0
t=0
t
=
0
to
t
=
9
t=9
t
=
9
B
The runner's instantaneous speed at
t
=
9
t=9
t
=
9
C
The runner's total distance traveled by
t
=
9
t=9
t
=
9
D
The runner's average acceleration from
t
=
8
t=8
t
=
8
to
t
=
9
t=9
t
=
9
E
The runner's instantaneous acceleration at
t
=
9
t=9
t
=
9
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