Problem: If V=gt+V0​ and S=1/2gt2+Vo​t then t equals
Answer Choices:
A. V+V0​2S​
B. V−V0​2S​
C. V0​−V2S​
D. V2S​
E. 2S−V
Solution:
2S=gt2+2V0​t;Vt=gt2+V0​t;∴2S−Vt=V0​t;
∴t=V+V0​2S​
or
g=tV−V0​​,S=21​tV−V0​​⋅t2+V0​t=t(21​V+21​V0​).
∴t=V+V0​2S​.