Current Attempt in Progress

A vacuum$-$propelled capsule for a high$-$speed tube transportation system of the future is being designed for operation between two stations A and $B,$ which are $7\mathrm{.}4km$ apart. If the acceleration and deceleration are to have a limiting magnitude of $0\mathrm{.}60g$ and if velocities are to be limited to $360k\frac{m}{h},$ determine the minimum time $t$ for the capsule to make the $7\mathrm{.}4-km$ trip.

Answer: $t=$

i $$ min