You’re driving down the highway late one night at 20 m/s when a deer steps out onto the road 35 m in front on you. Your reaction time before stepping on the brakes is 0.50 seconds and the maximum deceleration of your car is 10 m/s2.

Engines for propeller-driven aircraft are limited in their maximum rotational speed by the fact that the tip speed of the propeller must not approach the speed of sound in air (mach i). taking 6 ft as a typical diameter for a propeller of a light airplane and 1100 fils as the speed of sound, find the upper limit on the rpm (revolutions per minute) of the propeller shaft.