It is continuous in Position, Velocity and Acceleration.

We construct the Throw Motion-Law with two Flexible Polynomial segments.

Usually, the segments have an equal period, but this is not necessary.

Continuity at the Mid-Point

At the mid-point, the Position is at its maximum and the Velocity is zero.

At the mid-point, Acceleration is finite and negative.

At the mid-point, Jerk is discontinuous and unspecified

Position, Velocity, Acceleration, are Continuous.

Acceleration is unspecified at its mid-Point.

Jerk is discontinuous and unspecified

The Throw is Quick-Return because it has a large, negative acceleration at its maximum displacement.

See Also:

•Quick Return 1: Finite Jerk @ Start/End/Mid-Point

•Quick Return 2: Zero Jerk @ Start/End/Mid-Point

•Rapid Return 2: Smooth-Start/End

Two Segment 'Rapid-Return Motion 1

Start

•Position = 0

•Zero Velocity

•Zero Acceleration

•Unspecified Jerk

Mid-Point

•Position = 1

•Zero Velocity

•Match but Unspecified Acceleration

•Unspecified Jerk

End

•Position 2 = 0

•Zero Velocity

•Zero Acceleration

•Unspecified Jerk