Stopping Distance of a Car Using the simulation answer the following questions Y
ID: 2030010 • Letter: S
Question
Stopping Distance of a Car Using the simulation answer the following questions You are traveling along a road at 96 km/hr, maintaining a constant distance d between you and the car in front of you, measured from your front bumper to the other car's rear bumper of d required if you If the driver of the car in front of you applies the the time it takas you to see the brake lights in front and apply your own brakes) is o.50s and that the appropniate coefficient of friction between the road and your car tires is 0.80. Assume the due to gravity has a magnitude of 9.8 m/y? (b) Assuming the length of a typical car is 3.00 m, express the minimum value of d in car lengths (c) What is the distance between the two cars at the instant you apply the brakes? ts car lengths (c) NExplanation / Answer
v0 = 96 x 1000 m / 3600s = 26.7 m/s
when one car stops,
for your car,
initial relative velocity = v0 = 26.7 m/s
a = - u g = 0.80 x 9.8 = 7.84 m/s^2
vf^2 - vi^2 = 2 a d1
0^2 - 26.7^2 = 2(-7.84)(d)
d1 = 45.14 m
during reaction time, d2 = 0.50 x 26.7 = 13.33 m
d = d1 + d2 = 58.5 m
(B) d = (58.5)/3 = 19.5
(C) at that time, distance = d1 = 45 m