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

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To calculate index time based on distance using kinematic equations, the key parameters include maximum velocity, acceleration, and deceleration. The discussion emphasizes the need to derive an equation for distance as a function of time, utilizing the provided values of max velocity (2700 mm/s) and acceleration/deceleration (4000 mm/s²). Context is crucial for accurate calculations, as different scenarios may require different approaches. Participants suggest manipulating standard kinematic equations to express time as a function of distance. Overall, a clear understanding of the specific context and application of kinematic principles is essential for accurate calculations.
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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