An unmarked police car traveling a constant $95$ km$/$h

is passed by a speeder traveling $129$ km$/$h

$.$Precisely $1\mathrm{.}00$ s

after the speeder passes, the police officer steps on the accelerator; if the police car's acceleration is $2\mathrm{.}40$ m$/$s$2$

$,$ how much time passes after the police car is passed by a speeder and before the police car overtakes the speeder $($assumed moving at constant speed$)?$

Express your answer with the appropriate units.