$3$ Charging Station, Double Control

In part $2,$ you are always able to coast the robot all the way to the charging station, since it is already

moving. But what if the robot is stopped? In this question, the goals are the same as in part $2$; however,

the robot starts with zero velocity. You have two chances to control the robot, first to get it moving by

accelerating, and then to bring it to a stop at the right point by braking.

The robot also has a time limit $T$ on how long it can accelerate before exhausting the remaining battery life.

Once the brakes are engaged, they will stay engaged until the robot comes to a complete stop.

$1($BetaBot$).$ Save the filled in formula below as L$1$Q$3\_$name.kyx$.$

$2($VeriBot$).$ Prove the formula and save your tactic as $($L$1$Q$3\_$name.kyt$).$

Question: What is your efficiency condition? Is it different from part $2,$ why or why not? Submit your

answer in discussion$\_$name.txt