A ranger in a national park is driving at 44 km/h when a deer jumps onto the road 70 m ahead of the vehicle.

A ranger in a national park is driving at 44 km/h when a deer jumps onto the road 70 m ahead of the vehicle. After a reaction time of t s, the ranger applies the brakes to produce an acceleration of -3.00 m/s2. What is the maximum reaction time allowed if the ranger is to avoid hitting the deer?