AP Calculus BC Quiz
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CONTEXTUAL APPLICATIONS OF DIFFERENTIATION
Question 1
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The height of a rocket is
h
(
t
)
=
150
t
−
4.9
t
2
h(t)=150t-4.9t^2
h
(
t
)
=
150
t
−
4.9
t
2
meters after
t
t
t
seconds. What does
h
′
(
8
)
h'(8)
h
′
(
8
)
represent?
A
The rocket's height at
t
=
8
t=8
t
=
8
seconds, in meters
B
The rocket's instantaneous vertical velocity at
t
=
8
t=8
t
=
8
seconds, in meters per second
C
The rocket's instantaneous vertical acceleration at
t
=
8
t=8
t
=
8
seconds, in meters per second
D
The rocket's average vertical velocity from
t
=
0
t=0
t
=
0
to
t
=
8
t=8
t
=
8
seconds, in meters
E
The total distance the rocket traveled by
t
=
8
t=8
t
=
8
seconds, in meters per second
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