A motorist traveling at 14 m/s encounters a deer in the road 45 m ahead.

A motorist traveling at 14 m/s encounters adeer in the road 45 m ahead.If the maximum acceleration the vehicle’sbrakes are capable of is −6 m/s2, what is themaximum reaction time of the motorist thatwill allow her or him to avoid hitting the deer?Answer in units of s.