Question

The driver of a high-speed car of mass m=2000kg, CD=0.3, and profile area A= 1m2 , traveling at 150 mi/hr deploys a d=2m parachute, as shown below, simultaneously taking his/her foot off the gas pedal (but not applying the brakes!) Neglecting rolling resistance, determine the instantaneous deceleration of the vehicle. Set up the differential equation whose solution would give the speed V(t) in the ensuing deceleration. Show that, in the absence of other frictional forces, (I.e. under influence of parachute alone) the car will never quite come to rest. Solve the differential equation, to determine the speed after 1 min, 2 min, 5 min

Answer 1