1
Q
Position Function:
s(t) =
A
∫v(t)dt, the antiderivative of velocity
2
Q
Velocity function:
v(t) =
A
s’(t), the derivative of position, as well as ∫a(t)dt, the antiderivative of acceleration
3
Q
Acceleration function:
a(t) =
A
v’(t), the derivative of velocity, as well as s’’(t), the derivative of position
4
Q
A particle is moving left when…
A
v(t) < 0
5
Q
A particle is moving right when…
A
v(t) > 0
6
Q
A particle is not moving (at rest) when…
A
v(t) = 0
7
Q
To find displacement of a particle with velocity v(t) from t = a to t = b, calculate this:
A
∫ab v(t)dt
8
Q
To find total distance traveled by a particle with velocity v(t) from t = a to t = b, calculate this:
A
∫ab |v(t)|dt
AP Calculus AB
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