Position, Velocity, and Acceleration Using Integrals
AP Calculus BC · Flashcards · Recall
AP CALCULUS BC · FLASHCARDS
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QUESTION
State the fundamental theorem of calculus for definite integrals.
QUESTION
What is the relationship between total distance and displacement?
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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