Solve (h=-16t^2+v_{0}t+h_{0})

$$( h = - 16 t ^ { 2 } + v _ { 0 } t + h _ { 0 } )$$

Solve for h_0

$$h_{0}=16t^{2}-tv_{0}+h$$

Solution Steps

Swap sides so that all variable terms are on the left hand side.

$$-16t^{2}+v_{0}t+h_{0}=h$$

Add 16t^{2} to both sides.

$$v_{0}t+h_{0}=h+16t^{2}$$

Subtract v_{0}t from both sides.

$$h_{0}=h+16t^{2}-v_{0}t$$

Solve for h

$$h=h_{0}+tv_{0}-16t^{2}$$