AP Calc AB Particle Motion
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19 Terms
x(t) or s(t) is…
position
v(t) is…
velocity
a(t) is…
acceleration
how to find v(t)?
derivative of s(t) aka position
how to find a(t)?
derivative of v(t), second derivative of s(t)
"Initially" means…
when t=0
"At the origin" means…
when s(t)=0
"At rest" means…
v(t)=0
when position is given, average velocity of particle is…
\frac{s\left(b\right)-s\left(a\right)}{b-a}
when velocity function is given, average acceleration of the particle is…
\frac{v\left(b\right)-v\left(a\right)}{b-a}
If velocity is positive…
object is moving to the right or up
If velocity is negative…
object is moving to the left or down
If acceleration is positive…
Velocity is increasing
If acceleration is negative…
Velocity is decreasing
Speed is…
absolute value of velocity
Speed is increasing if…
velocity and acceleration have the same sign
Speed is decreasing if…
velocity and acceleration have different signs
Particle is moving toward the origin if…
Position and velocity are opposite signs
Particle is moving away from the origin if…
position and velocity have the same sign