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Tully - Particle Motion Concepts (AP Calculus AB/BC)
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Terms in this set (29)
What does the phrase "initially" mean in particle motion?
t=0
time is zero
What does the phrase "at the origin" mean in particle motion?
x(t)=0
position is zero
What does the phrase "at rest" mean in particle motion
v(t)=0
velocity is zero
What does v(t) determine?
How fast the position of the particle is changing AND in what direction.
When is a particle moving to the right?
A particle moves to the right when v(t) is positive.
When velocity is positive, what direction is a particle moving?
A particle is moving to the right when velocity is positive.
When is a particle moving to the left?
A particle moves to the left when v(t) is negative.
When velocity is negative, what direction is a particle moving?
A particle is moving to the left when velocity is negative.
When does a particle change direction?
A particle changes direction when velocity changes sign.
How is the total distance traveled by a particle calculated?
Integral of the absolute value of v(t) dt.
What does a(t) determine?
a(t) determines how fast the velocity of a particle is changing.
When is a particle's velocity increasing?
v(t) is increasing when a(t) is positive.
When is a particle's velocity decreasing?
v(t) is decreasing when a(t) is negative.
When the acceleration of a particle is positive, what does that mean for the particle's velocity?
velocity is increasing when acceleration is positive
When the acceleration of a particle is negative, what does that mean for the particle's velocity?
velocity is decreasing when acceleration is negative
How is the speed of a particle calculated?
|v(t)|
What does |v(t)| determine?
|v(t)| determines the speed of a particle
When is the speed of a particle increasing?
Speed is increasing when velocity and acceleration have the same sign.
When velocity and acceleration have the same sign, what does that mean for the speed of a particle?
Speed is increasing.
When is the speed of a particle decreasing?
Speed is decreasing when velocity and acceleration have opposite signs.
When velocity and acceleration have the opposite sign, what does that mean for the speed of a particle?
Speed is decreasing.
What equation(s) represents position?
x(t) or s(t)
integral (v(t)) dt
Integral (integral (a(t)) dt) dt
What does x(t) represent?
position of a particle
What equation(s) represent velocity?
v(t)
x'(t)
integral (a(t)) dt
What does v(t) represent?
velocity of a particle
What equation(s) represent acceleration?
a(t)
v'(t)
x''(t)
What does a(t) represent?
acceleration
Particle motion generally happens along which straight line?
x-axis
What does t represent in particle motion?
time
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