TBR Maximum Height vs. Velocity Graph

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Gauss44

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Y-direction velocity vs. maximum height

Why isn't this graph linear? Can you use x=vot+1.2at^2 to make x proportional to vo? That was my mislogic making the graph linear.

(I think I've been studying too long.)
 
Y-direction velocity vs. maximum height

Why isn't this graph linear? Can you use x=vot+1.2at^2 to make x proportional to vo? That was my mislogic making the graph linear.

(I think I've been studying too long.)

V^2 = 2gh

if v changes by factor of x, h changes by factor of x^2
 
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