How Do You Calculate Time When Velocity Equals Zero in a Complex Equation?

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SUMMARY

The discussion focuses on solving the equation 0=5(t^(3/2))-(27/2)(t^(1/2))+9(t^(-1/2)) to find the value of t when velocity (v) equals zero. The user seeks guidance on the steps to solve this complex equation and is advised to multiply through by √t to simplify the problem. This approach will help eliminate the fractional powers and make the equation easier to solve.

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Homework Statement


This is more of a math question - I just want to know how I can find the value of t when v=0.

0=5(t3/2)-(27/2)(t^1/2)+9(t^-1/2)

Homework Equations


The Attempt at a Solution



I do not know how to solve this. Please show steps. Thanks.
 
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Hint: What happens if you multiply through by \sqrt{t} ?

math4life said:

Homework Statement


This is more of a math question - I just want to know how I can find the value of t when v=0.

0=5(t3/2)-(27/2)(t^1/2)+9(t^-1/2)


Homework Equations





The Attempt at a Solution



I do not know how to solve this. Please show steps. Thanks.
 

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