The equation for terminal velocity, vm, is:

Referring to the acceleration-time curve,

For any constant acceleration system, the distance traveled, *s*, in time, *t*, is related to the initial velocity, *v*0, and the

acceleration, *a*, by:

As the telescoping length is equal to s1 + s2 and the inner tube is equal to S3, and they are assumed to be of equal length

Simultaneous solution of equations (22) and (23), with simplification, results in:

which can be solved for t2-3 given the requirements of maximum acceleration, am, maximum rate of change of

acceleration, , and terminal velocity, vm. The time, t1-2, can be found from the revision of equation (22).

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