A car is moving with speed 20 m//s. Sudd...

A car is moving with speed `20 m//s`. Suddenly the driver sees the sign of danger at a distance of `50 m`, after a certain reaction time `t_(0)`, he applies breaks to cause deceleration `5 m//s^(2)`. What is the maximum allowable reaction time `t_(0)` to avoid accident and distance traveled by the car during reaction time?

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