Constants Part A The driver of a car wishes to pass a truck that is traveling at
ID: 1875729 • Letter: C
Question
Constants Part A The driver of a car wishes to pass a truck that is traveling at a constant speed of 19.7m/s nitially, the car is also traveling at a speed 197 m/s and its front bumper is a distance 23 8 m behind the truck's rear bumper. The car begins accelerating at a constant acceleration 0 570 m/s , then pulls back into the truck's lane when the rear of the car is a distance 265 m ahead of the front of the truck. The car is of length 5 00 m and the truck is of length 20 8 m Submit Incorrect Try Again: 4 attempts remaining Part B What distance does the car travel during this time? 309.48 Submit × Incorrect: Try Again, s attempts remaining PartC What is the fnal speed of the car? 27.219Explanation / Answer
xgiven
speed of trueck, u = 19.7 m/s = intiial speed of car
d = 23.8 m
a = 0.57 m/s/s
r = 26.5 m
l = 5 m
w = 20.8 m
hence
a. time required to pass the truck = t
extra distance travelled by the car, d' = d + w + r + l
76.1 = ut + 0.5at^2 - ut = 0.5at^2
t = 16.34 m/s
b. distance travelled by car, l = ut + 0.5at^2
l = 397.991746 m
c. final speed = v = u + at = 29.0138 m/s