math physics

Displacement

final position minus initial position x(b)-x(a)

Total distance

absolute vale of displacement between turning points |x(t)|

particle is moving left (given x(t))

decreasing

particle is moving right (given x(t)

increasing

particle moving left (given v(t))

negative

particle moving right (given v(t))

positive

speeding up

velocity and acceleration have the same sign

slowing down

velocity and acceleration have opposite signs

speeed

absolute value of velocity

velocity at time given position function

derivative of position at that time

average velocity

change in position over interval in time x(b)-x(a)/b-a