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s(t) represents:
position
s′(t) or v(t) represents:
velocity
s′′(t) or v′(t) or a(t) represents:
acceleration
Velocity is generally measured in
m/s
acceleration in
m/s^2
What quantity is acceleration, displacement and velocity?
vector quantites
What quantity is speed?
scalar quantities
Moving to the right:
v(t) > 0
Stationary:
v(t) = 0
Moving to the left:
v(t) < 0
when v(t) and a(t) work together, we…
accelerate
v(t) x a(t) > 0
accelerating
v(t) x a(t) < 0
deaccelerating
What can we find using the second derivate?
the instantaneous rate of change of velocity (acceleration).