Connecting Position, Velocity, and Acceleration
AP Calculus AB · Flashcards · Recall
AP CALCULUS AB · FLASHCARDS
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QUESTION
What is the relationship between velocity and acceleration?
QUESTION
What is the effect of constant positive acceleration?
QUESTION
Identify the integral representing displacement from
t
1
t_1
t
1
to
t
2
t_2
t
2
.
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ANSWER
Displacement
=
∫
t
1
t
2
v
(
t
)
d
t
\text{Displacement} = \int_{t_1}^{t_2} v(t) \, dt
Displacement
=
∫
t
1
t
2
v
(
t
)
d
t
. Integrating velocity over time gives net displacement.
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