Calculating Automobile/Truck Distance and Speed

  • Thread starter Thread starter Mathize
  • Start date Start date
  • Tags Tags
    Speed
AI Thread Summary
An automobile accelerates at 2.2 m/s² from a traffic light while a truck moves at a constant speed of 9.5 m/s. To determine when the automobile overtakes the truck, one must express the distance of each vehicle as a function of time, integrating twice for the car and once for the truck. The solution involves finding the time when both distances are equal. Participants in the discussion emphasize the importance of attempting the problem independently before seeking help. Ultimately, one participant successfully solved the problem, indicating that it was manageable.
Mathize
Messages
2
Reaction score
0
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?
 
Physics news on Phys.org
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.
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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 .
Back
Top