(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Thr driver of a car wishes to pass a truck that is traveling at a constant speed of 19.3 m/s. Initially, the car is also traveling at a speed 19.3 m/s and its front bumper is a distance 23.9 m behind the truck's rear bumper. The car begins accelerating at a constant acceleration 0.600 m/s^2. Then pulls back into the truck's lane when the reat of the car is a distance 25.8 m ahead of the front of the truck. The car is of length 4.5 m and the truck is of length 21.4 m .

a. How much time is required for the car to pass the truck

b. What distance does the car travel during this time

c. What is the final speed of the car

2. Relevant equations

I was using the equation where xcar = Xo + Voxt + (1/2)at

and the xtruck = Xo + Voxt + (1/2)at. The problem is that I know that if I were asking how much time does it take for the car to be at the same position as the truck I would set the two equations equal to each other, but I am asking how long does it take to overtake the truck. I even tried, adding the distances but I am getting more and more confused.

3. The attempt at a solution

Vintially of Car = 19.3 m/s Vinitially of Truck = 19.3 m/s

acceleration of car: .600 m/s^2 Acceleration of Truck = 0

X Distance of Car = 0 X distance of Truck = 23.9

Now, would I set them equal to each other to get the time that it takes the car to overtake the truck or should I add distances? I am really confused. Please HELP ME!!!

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# Homework Help: A car and a truck

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