Question

Determine the stopping distance, in meters, for an automobile traveling with an initial (constant) speed of 65 miles per hour for an acceleration a Assume a human reaction time of 0.30 seconds. -4.25 m/s HAO ? Value Units

Answer 1

given

vi = 65 miles/hour

= 65*1.609*5/18 m/s

= 29.05 m/s

vf = 0

a = -4.25 m/s^2

reaction time, delta_t = 0.3 seconds.

distance travelled during reaction time, d1 = vi*t

= 29.05*0.3

= 8.715 m

distance traveled during break applied, d2 = (vf^2 - vi^2)/(2*a)

= (0^2 - 29.05^2)/(2*(-4.25))

= 99.28 m

stoping distance = d1 + d2

= 8.715 + 99.28

= 108 m <<<<<<<<<---------------------Answer