Motion with constant acceleration

AI Thread Summary
The discussion focuses on solving a motion problem involving two cars traveling at constant speeds. Car A travels at 80 km/h, while car B travels at 110 km/h and starts 45 km behind car A. To determine how far car A travels before being overtaken, the difference in their speeds is crucial. Participants suggest using equations of motion, specifically d = vt, and recommend expressing the distances of both cars as functions of time to find when they are equal. A diagram may assist in visualizing the problem and understanding the solution better.
Susanem7389
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I'm having trouble finding the equation.

Two cars are traveling along a straight road. Car A maintains a constant speed of 80 km/h and car B maintains a constant speed of 110 km/h. At t=0, car B is 45 km behind car A. (A) How much father will car A travel before car B overtakes it? (B) How much ahead of A will B be 30 seconds after it overtakes A?
 
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It's all constant speed,

All you have to know is that V*t = d
 
I'm still not sure how to figure it out.
 
Look at the differences in speed.

How long to make up the difference in distance?
 
Try writing the distance from the position that car B is at t=0 as a function of time (In other words, place your origin at that point. It may help to draw a simple diagram).
For example, dB(t) = vBt = 110t (m). Try finding dA(t). Since you are measuring both distances from the same origin, you want to find the time t that the functions are equivalent.

Note that this is a very rote approach. Try LowlyPion's intuitive way first.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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