A train starts from city A and stops in city B. The distance between the cities is s. The train’s maximal acceleration is a_{1} and its maximal deceleration is a_{2} (in absolute value). What is the shortest time in which the train can travel between A and B ?
Answer Choices
A. 2 \sqrt{\frac{s}{a_{1}+a_{2}}}
B. 2 \sqrt{\frac{s}{\sqrt{a_{1} a_{2}}}}
C. \sqrt{2 \frac{s\left(a_{1}+a_{2}\right)}{a_{1} a_{2}}} \leftarrow CORRECT
D. \sqrt{\frac{2 s a_{2}}{a_{1}\left(a_{1}+a_{2}\right)}}
E. \sqrt{\frac{s \sqrt{a_{1} a_{2}}}{\left(a_{1}+a_{2}\right)^{2}}}