Position, Velocity, and Acceleration Using Integrals
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
Determine the acceleration at
t
=
2
t = 2
t
=
2
for
v
(
t
)
=
3
t
2
−
5
t
v(t) = 3t^2 - 5t
v
(
t
)
=
3
t
2
−
5
t
.
QUESTION
Find the acceleration function if
v
(
t
)
=
6
t
2
−
4
t
+
1
v(t) = 6t^2 - 4t + 1
v
(
t
)
=
6
t
2
−
4
t
+
1
.
QUESTION
What is the formula for finding total distance traveled using velocity?
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ANSWER
Total distance =
integral of
∣
v
(
t
)
∣
dt
\text{integral of } |v(t)| \text{ dt}
integral of
∣
v
(
t
)
∣
dt
. Absolute value ensures all movement counts as positive distance.
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