Connecting Position, Velocity, and Acceleration
AP Calculus AB · Flashcards · Application
AP CALCULUS AB · FLASHCARDS
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QUESTION
Find the total distance traveled from
t
=
0
t=0
t
=
0
to
t
=
3
t=3
t
=
3
if
v
(
t
)
=
t
2
v(t) = t^2
v
(
t
)
=
t
2
.
QUESTION
Find the velocity when
a
(
t
)
=
3
t
a(t) = 3t
a
(
t
)
=
3
t
and
v
(
0
)
=
2
v(0) = 2
v
(
0
)
=
2
.
QUESTION
Determine if the particle is speeding up or slowing down at
t
=
1
t = 1
t
=
1
given
v
(
t
)
=
t
2
−
4
t
v(t)= t^2 - 4t
v
(
t
)
=
t
2
−
4
t
and
a
(
t
)
=
2
t
−
4
a(t) = 2t - 4
a
(
t
)
=
2
t
−
4
.
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ANSWER
Speeding up at
t
=
1
t = 1
t
=
1
.
v
(
1
)
=
−
3
<
0
v(1) = -3 < 0
v
(
1
)
=
−
3
<
0
and
a
(
1
)
=
−
2
<
0
a(1) = -2 < 0
a
(
1
)
=
−
2
<
0
, same signs means speeding up.
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