A ranger in a national park is driving at 47 kilometers per hour when a deer jumps onto the road 72 meters ahead the vehicle. After a reaction time of t (s), the ranger applies the brakes to produce an acceleration of -2.6 meters per second squared.
What is the maximum reaction time allowed if the ranger is to aviod hitting the deer? Answer in units of (s)
Vi = 47 km/h
d or delta x = 72
a = -2.6 m/s^2
delta t = ?