The instantaneous speed of a particle moving along one straight line is
v(t) = ate^−4t,
where the speed v is measured in meters per second, the time t is measured in seconds, and the magnitude of the constant a is measured in meters per second squared. What is its maximum speed, expressed as a multiple of a?
To pass a slow vehicle within the length of the passing lane roger got up well over the speed limit . He then spotted a police cruiser coming around the corner and hit the brakes . If he braked at 6 m/s^2 , and it took him 1.50 seconds to get back to 40 m/s , what speed had he reached before spotting the police ?
2 answers
V = Vo + a*t = 40, Vo - 6*1.5 = 40, Vo = 49 m/s.
1 answer