Particle Motion Flashcards
Velocity
S’(t)=v(t)
Acceleration
S”(t)=v’(t)=a(t)
The slope on position, s(t)
The slow represents velocity, v(t)
The slope on velocity, v(t)
The slope represents acceleration, a(t)
Speed
|v(t)|
Instantaneous velocity
Velocity at the moment
Initially
T=0
At rest
V(t)
At the origin
s(t)=0
Particle moves up or right
v(t)>0
Particle moves down or left
v(t)
Particle is speeding up
v(t) and a(t) have same signs
Particle is slowing down
v(t) and a(t) have different signs
Particle changes direction
v(t) changes sign
Velocity is increasing
a(t)>0
Velocity is decreasing
a(t)
Displacement on the interval (a,b)
Change in position, s(b)-s(a)
Average velocity (given s(t))
s(b)-s(a)/b-a
Average acceleration (given s(t))
S’(b)-s’(a)/b-a
a Average acceleration (given v(t))
v(b)-v(a)/b-a
Position
s(t)
