What is the deceleration of the vehicle?

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Homework Help Overview

The discussion revolves around calculating the deceleration of a vehicle with a mass of 5 tonnes traveling at a velocity of 80 km/h, which needs to stop within a distance of 0.5 km using a constant braking force.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to verify their calculations using the formula A = V^2 / 2S and expresses concern about the time taken to stop, questioning whether their use of 2s in the calculations was correct.

Discussion Status

Participants have provided feedback on the calculations, with some affirming the original poster's approach while others suggest adding explanatory notes for clarity. There is an ongoing exploration of the time taken to stop, with different interpretations of the results being discussed.

Contextual Notes

Participants note potential confusion regarding the time calculation and the implications of using different values in the equations, indicating a need for clarification on the assumptions made in the problem setup.

Kev1n
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1. I am looking to verify my calculation. Question A vehicle of mass 5Tonnes is traveling with a velocity of 80kmh-1 if it needs to stop within a dstnace of 0.5 km using a constant braking force what is the deceleration of the vehicle



2. V^2 = 2xSxA, A=V^2 / 2S



3. A=V^2/2s
80kmn = 22.222ms
A=22.222^2/2x500
A=493.8/1000
A=0.494
Deceleration = - 0.494
 
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Looks good :smile:

Welcome to PF.
 


Redbelly98 said:
Looks good :smile:

Welcome to PF.

appreciated thanks
 


Redbelly98 said:
Looks good :smile:

Welcome to PF.


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IET » Student and apprentice discussion forum » Calculation check Topic Title: Calculation check
Topic Summary: Deceleration
Created On: 18 October 2009 06:11 PM
Status: Post and Reply
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18 October 2009 06:11 PM


BK

Posts: 11
Joined: 28 September 2009

Can anyone give this the once over make sure I have the formula calcs etc right

Vehicle mass 5 Tonnes traveling with a velocity 80kmh. It needs to stop with in 0.5km using constant braking force

Deceleration:
(80kmh = 80x1000/3600 = 22.2m/s)

a=(v^2-u^2) / 2s
a=(0-22.2^2)/2x500
a=(493.83)/1000
a= 0.494ms
as Deceleration = -0.49

Just want to check I am on the right line
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19 October 2009 01:45 PM


tonysung

Posts: 579
Joined: 14 September 2001

It's a very good start. Perhaps you could add a few explanatory notes to your working so it can be checked properly.

E.g., "Deceleration80kmh = 80x1000/3600 = 22.2m/s)" should be 'velocity' or 'speed' in m/s.

Please have another go.

Kind regards

-------------------------
tony sung
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19 October 2009 07:11 PM


BK

Posts: 11
Joined: 28 September 2009

Apologies that should have been Velocity 22.2ms

My concern is whilst working out time taken

V/A=T, 22.2/0.4938 = 45s

I checked using a Velocity, Time distance calculator on the net and it calculates 22.5s

Therefore was I correct in using 2s in my initial calculation, it appears to be correct when I transformed the formula
 


Kev1n said:
My concern is whilst working out time taken

V/A=T, 22.2/0.4938 = 45s

I checked using a Velocity, Time distance calculator on the net and it calculates 22.5s

Therefore was I correct in using 2s in my initial calculation, it appears to be correct when I transformed the formula

Yes, 2s was correct since the equation is

v2 = 2 s a​

22.5 sec would be the time to go 500 m at a constant velocity (no deceleration) of 22.2 m/s. But in that case the vehicle would not come to a stop, as stated in the problem.
 

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