you\'re driving a car and want to pass a truck traveling at a constant speed of
ID: 2127649 • Letter: Y
Question
you're driving a car and want to pass a truck traveling at a constant speed of 20.0 m/s (which is around 45 mph). Initially you are also traveling at 20.0m/s and are 25.0 meters behind the rear of the truck. you pull back into the truck's lane when you are 25.0 meters ahead of the front of the truck. The truck is 20.0 meters long( neglect the length of the car for simplicity) your car's acceleration is 0.0600m/s2 a) how much time is required for your car to pass the truck and pull back in front of it b)what distance does your car travel during this time ? c) what is the final speed of your car?
Explanation / Answer
a) distnace covered = 25+25+20 = 70 m
s = ut+1/2at^2
==> 70= 20t+0.5*0.06*t^2
==> 70=20t+0.03t^2
==> 0.03t^2+20t - 70 = 0
==> t = 3.48s (negleting the negative result)
b)70 m
c)v = u+at = 20+0.06*3.48 = 20.208 m/s
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