Aloha! This question I'm stuck on in my class. COuld you help? A driver traveling North on a two-lane two-way highway is performing apassing maneuver (i.e., using the opposing traffic lane) at a speed of v1 = 100 km/h on a sectionof the road with a grade G1 = 4%. Her perception-reaction time is tr1 = 1.0 s and her car canperform the stopping maneuver with a friction coefficient f1 = 0.35 (assuming, for example, worntires). The driver of another car traveling South at a speed v2 = 90 km/h has a perception-reactiontime tr2 = 1.3 s. Since the tires of this vehicle, which is traveling on a grade G2 = -4.0%, are ingood condition, they can develop a coefficient of friction f2 = 0.52. The two vehicles becomevisible to one another at the same time, when they are separated by a distance X = 200 m, measuredfrom front bumper to front bumper (See sketch below). Recall that g = 9.81 m/s2and that 3.6 km/h= 1 m/s.Assuming that the only alternative for the two drivers to avoid a collision is to brake and stoptheir respective vehicles, determine:a) The acceleration rate in m/s2of each vehicle (i.e., a1 and a2) if both vehicles try to stop.b) Whether they collide before coming to a complete stop or not.c) The speed (in km/h) of each vehicle and the relative speed if you concluded they collideor the distance (in m) between front bumpers once both vehicles have come to a completestop if you concluded they do not collide.
Aloha! This question I'm stuck on in my class. COuld you help?
A driver traveling North on a two-lane two-way highway is performing a
passing maneuver (i.e., using the opposing traffic lane) at a speed of v1 = 100 km/h on a section
of the road with a grade G1 = 4%. Her perception-reaction time is tr1 = 1.0 s and her car can
perform the stopping maneuver with a friction coefficient f1 = 0.35 (assuming, for example, worn
tires). The driver of another car traveling South at a speed v2 = 90 km/h has a perception-reaction
time tr2 = 1.3 s. Since the tires of this vehicle, which is traveling on a grade G2 = -4.0%, are in
good condition, they can develop a coefficient of friction f2 = 0.52. The two vehicles become
visible to one another at the same time, when they are separated by a distance X = 200 m, measured
from front bumper to front bumper (See sketch below). Recall that g = 9.81 m/s2
and that 3.6 km/h
= 1 m/s.
Assuming that the only alternative for the two drivers to avoid a collision is to brake and stop
their respective vehicles, determine:
a) The acceleration rate in m/s2
of each vehicle (i.e., a1 and a2) if both vehicles try to stop.
b) Whether they collide before coming to a complete stop or not.
c) The speed (in km/h) of each vehicle and the relative speed if you concluded they collide
or the distance (in m) between front bumpers once both vehicles have come to a complete
stop if you concluded they do not collide.
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