How Long Does It Take for a Car to Pass a Truck After Reaching the Speed Limit?

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Homework Help Overview

The problem involves a car accelerating from a velocity of 20 m/s to 25 m/s while trying to overtake a truck moving at a constant velocity of 18 m/s. The initial distance between the car and the truck is 50 m. The task is to determine the time it takes for the car to pass the truck after reaching the speed limit.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the use of kinematic equations to find the time taken for the car to accelerate and subsequently overtake the truck. There are questions about the initial conditions and the correct application of formulas. Some participants express confusion about the relationship between the velocities of the car and truck and how to calculate the distances traveled during acceleration.

Discussion Status

Participants are actively engaging in clarifying their understanding of the problem. Some have provided calculations and are seeking confirmation of their approach. There is an ongoing exploration of how to relate the distances traveled by both vehicles and the time taken to close the gap between them.

Contextual Notes

There is a noted confusion regarding the initial velocities and the time variable in the equations used. Participants are working under the constraints of homework rules, which may limit the information they can share or receive.

  • #31
37.5 m? if the car starts at the origin, then its final position would be 62.5m and the truck starts at 50, its final position would be 100 m
 
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  • #32
Perfect. Now? :)
 
  • #33
im not sure which equation to use.
 
  • #34
Ok you know the distance between the car and truck, and you know their speeds and you need to find the time.

In terms of relative velocity, its just distance = relative velocity*time

But in case you're not familiar with relative velocity, look at it like this. Assume the car takes time T to overtake the truck. It moves a distance 25*T during this. The truck moves a distance 18*T in the meantime. Now, The car should move 37.5 m more than the truck to overtake it.
 

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