How Can I Calculate Index Time Based On Distance Using Kinematic Equations?

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SUMMARY

The discussion focuses on calculating the index time for a specified distance using kinematic equations. The parameters provided include a maximum velocity of 2700 mm/s, acceleration of 4000 mm/s², and deceleration of 4000 mm/s². Participants suggest manipulating kinematic equations to derive time as a function of distance. The conversation emphasizes the need for clarity regarding the context of the motion to apply the equations effectively.

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  • Knowledge of maximum velocity calculations
  • Basic physics principles related to motion
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megamiles
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Hi All,

I need to calculate the index time of the following:

Max Velocity = 2700mm/s
Accel = 4000mm/s/s
Decel = 4000mm/s/s
Index Distance = x

What Equations do I need to utilize in order to calculate the total index time for a specified distance?
 
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Can you be more specific? Is this homework? If so then you need to show some work.

I assume by index time you mean to write an equation for distance which is a function of t using the velocity and accelerations provided. You haven't provided a context like is this on the Earth with a ball thrown into the air or a ball rolling down a ramp...
 

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