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positive slope, linear, starts at origin
constant positive velocity

negative slope, linear, starts above origin
constant negative velocity

right half of y=x²
positive speeding up (position)

positive slope, linear, starts at origin
positive speeding up (velocity)

above 0
positive speeding up (acceleration)

right half of y=-x²
negative speeding up (position)

negative slope, starts at origin, all below 0
negative speeding up (velocity)

below 0
negative speeding up (acceleration)

right half of bird
positive slowing down (position)

negative slope, all above 0
positive slowing down (velocity)

below 0
positive slowing down (acceleration)

right half of upside down bird
negative slowing down (position)

positive slope, all below 0
negative slowing down (velocity)

above 0
negative slowing down (acceleration)
0 acceleration
constant velocity (positive or negative)