Question: Beginner question - exploring or building a table of two equations

Good morning,

I'm new to Maple and have an informal learning relationship with calculus.

I'm exploring an expression but want the max value of a variable to be based on another equation. 

I'd be curious how to do this and then how to also graph and table the exploration. 

I'd like to evaluate, graph, and table this:

s = u*t + 1/2*a*t^2

Where the maximum value of t = (v - u)/a

s = distace

u = starting velocity

v = final velocity

a = acceleration

t = time for acceleration to reach final velocity

Thank you.

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