Calculating Automobile/Truck Distance and Speed

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SUMMARY

The discussion focuses on calculating the distance and speed of an automobile and a truck under specific conditions. The automobile accelerates at 2.2 m/s² from a traffic light, while the truck maintains a constant speed of 9.5 m/s. Participants are guided to express the distance of each vehicle as a function of time, integrating the equations to find when the automobile overtakes the truck and determining its speed at that moment. The conversation emphasizes the importance of attempting the problem independently before seeking help.

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At the instant the traffic light turns green, an automobile starts with a constant acceleration (a) of 2.2 m/s^2. At the same instant a truck, traveling with a constant speed of 9.5 m/s, overtakes and passes the automobile.
1) How far beyond the traffic signal will the automobile overtake the truck?
2) How fast will the car be traveling at that instant?
 
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Welcome Mathize !
Do not expect us to give you the answer ! You have to do your homework. Try this, and complain if you did not succeed, by showing what you tried.

1) you can express the distance of each vehicle as a function of time : that is twice integrate for the car, and once integrate for the truck. Then find the time after which both distance are equal.

2) this is easier
 
Thank you

Thank you.

I got it all figured out. It wasnt as bad as I thought it was.
 

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