D = v0 * t + 1 / 2a * tDespejar cada variablePor favor, ayuda?

La expresión es :

<img src="https://tex.z-dn.net/?f=D%3Dv_%7B0%7Dt%2B%5Cfrac%7B1%7D%7B2%7Dat" />

Despejando v0 se tiene :

<img src="https://tex.z-dn.net/?f=v_%7B0%7Dt%3DD-%5Cfrac%7B1%7D%7B2%7Dat%5C%5Cv_%7B0%7D%3D%5Cfrac%7BD%7D%7Bt%7D-%5Cfrac%7Bat%7D%7B2t%7D%5C%5Cv_%7B0%7D%3D%5Cfrac%7BD%7D%7Bt%7D-%5Cfrac%7Ba%7D%7B2%7D%5C%5Cv_%7B0%7D%3D%5Cfrac%7B2D-at%7D%7B2t%7D%5C%5C%5Ctextup%7BDespejando%20a%20en%20la%20expresi%5C%27on%20original%20%28es%20mucho%20m%5C%27as%20f%5C%27acil%29%20se%20tiene%3A%7D%5C%5C%20D%3Dv_%7B0%7Dt%2B%5Cfrac%7Bat%7D%7B2%7D%5C%5C%5Cfrac%7Bat%7D%7B2%7D%3DD-v_%7B0%7Dt%5C%5Cat%3D2%28D-v_%7B0%7Dt%29%5C%5Ca%3D%5Cfrac%7B2%28D-v_%7B0%7Dt%29%7D%7Bt%7D%5C%5Ca%3D%5Cfrac%7B2D%7D%7Bt%7D-%5Cfrac%7B2v_%7B0%7Dt%7D%7Bt%7D%5C%5Ca%3D%5Cfrac%7B2D%7D%7Bt%7D-2v_%7B0%7D%5C%5Ca%3D%5Cfrac%7B2%7D%7Bt%7D%28D-v_%7B0%7Dt%29%5C%5C%5Ctextup%7BDespejando%20t%20en%20la%20expresio%5C%27on%20original%20se%20tiene%3A%7D%5C%5CD%3Dv_%7B0%7Dt%2B%5Cfrac%7Bat%7D%7B2%7D%5C%5Ct%28v_%7B0%7D%2B%5Cfrac%7Ba%7D%7B2%7D%29%3DD%5C%5CD%3Dt%28%5Cfrac%7B2v_%7B0%7D%2Ba%7D%7B2%7D%29%5C%5Ct%3D%5Cfrac%7BD%7D%7B%5Cfrac%7B2v_%7B0%7D%2Ba%7D%7B2%7D%7D%5C%5Ct%3D%5Cfrac%7B2D%7D%7B2v_%7B0%7D%2Ba%7D" />

Espero haberte ayudado.

Saludos.