What is (v^2)/2 =2s^2-0.02 ?

The solution to (v^2)/2 =2s^2-0.02 is Hyperbola with (h,k)=(0,0),a=0.1,b=0.2

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(v^2)/2 =2s^2-0.02

\frac{v ^{2}}{2} = 2 s^{2} - 0.02

(h, k) = (0, 0), a = 0.1, b = 0.2

Solution steps

\frac{v ^{2}}{2} = 2 s^{2} - 0.02

Rewrite

\frac{v ^{2}}{2} = 2 s^{2} - 0.02

in the form of a standard hyperbola equation

\frac{( s - 0 ) ^{2}}{0. 1 ^{2}} - \frac{( v - 0 ) ^{2}}{0. 2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 0.1, b = 0.2

4 x^{2} - 9 y^{2} = 144

x^{2} - 3 y^{2} - 3 x = 4 y + 5

\frac{x ^{2}}{16} - \frac{y ^{2}}{75.9} = 1

3 x^{2} - 2 y^{2} - 6 x + 7 y + 7 = 0

(x - (- 2))^{2} - (y - (- 5))^{2} = (12)^{2}

What is (v^2)/2 =2s^2-0.02 ?
The solution to (v^2)/2 =2s^2-0.02 is Hyperbola with (h,k)=(0,0),a=0.1,b=0.2