Please help,A vehicle enters a test section of straight road at s =

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Discussion Overview

The discussion revolves around a physics problem involving a vehicle entering a test section of road and undergoing variable acceleration with respect to displacement. Participants are attempting to determine the vehicle's velocity at a specific position, s = 0.30 km, based on the provided initial conditions and acceleration profile.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant presents the initial conditions of the problem, stating the vehicle's entry speed and the need to find its velocity after a certain displacement.
  • Another participant requests clarification on what the acceleration function is, indicating that it varies with displacement but is not specified in the original post.
  • A third participant attempts to solve the problem using integration and kinematic equations but expresses uncertainty about the correctness of their solution, suggesting that their calculations may be flawed.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the acceleration function or the correctness of the calculations presented. The discussion remains unresolved regarding the proper approach to the problem.

Contextual Notes

The problem lacks a clear definition of the acceleration function, which is crucial for solving the problem accurately. Additionally, there may be unresolved mathematical steps in the calculations provided.

varsitymsb5
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Please help,

A vehicle enters a test section of straight road at s = 0 with a speed of 50 km/h. It then undergoes an acceleration which varies with displacement as shown. Determine the velocity v of the vehicle as it passes the position s = 0.30 km.

Thanks!
 
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hi varsitymsb5! :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 


∫vdv from 8.33E-4 to v = ∫ads from 0 to 300
v^2=vnot^2+2a(snot-s)=(8.33E-4)^2+2(.4)(300)
v=15.49m/s

This is what I did but the answer is wrong and not sure what I did wrong.
 
varsitymsb5 said:
It then undergoes an acceleration which varies with displacement as shown.

so the question says that a is a function of s …

what function? :confused:
 

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