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

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

Throw: Quick-Return with Zero Jerk

It is continuous in Position, Velocity and Acceleration

We construct this Throw segment with two Flexible Polynomial segments.

Usually, the segments have an equal duration, 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 continuous and zero.

Position, Velocity, Acceleration, and Jerk are Zero at the Start, End and Mid-Point

Position, Velocity, Acceleration, and Jerk are Continuous.

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


See Also:

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

Rapid Return: Finite Jerk @ Start/End/Mid-Point

Rapid Return: Smooth-Start/End


* An acceleration discontinuity would give a very poor dynamic response if applied to any mechanical system.

tog_minus        Two Segment 'Quick-Return Motion 2

tog_minus        One Segment 'Rise Segment'