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A rock is thrown straight up with initial speed v. Determine a expression for the maximum height h the rock reach.The air resistance is neglected and the throwing height are dependent on the gravity.

Variable list:

Speed: V, LT^-1

Height h, L

gravity g, LT^-2

My matrix:

---L T--

V |1 -1|

L |1 0 |

g |1 -2|

After reduction i got

(k=constant)

k = h*g*v^2

It should be h = k*v^2/g

Any ideas ?