Hi,

My car can do (theoretically, as I've never timed it) 0 to 100 in 5.8 seconds (assuming straight run from stand still).

Does anyone know how to calculate the distance that would be traveled in this time (I guess RPM and gear changing would need to be considered)?

I found the following site: http://www.csgnetwork.com/csgtsd.html

Using the "Distance Calculated by Speed and Time" form and entering 100 kph for the speed and 5.8 seconds it equals 161.111... meters traveled. But that's not from a standing start.

Now, consider that from a standing start, one could assume the distance traveled would be more around 170-175 meters. Right?

Get a g-tech.

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By my calculations if you accelerated at a constant rate of 4.77 meters per second squared (0 to 100 KM/H in 5.8 sec) your displacement would be 81.6 meters.
Where initial velocity is 0 m/s and final velocity is 27.7 m/s. Rusty high school physics.

Formulae: iV+2(AxD)=fV

iV= Initial Velocity
fV= Final Velocity
A= Acceleration (meters per second per second)
D= Distance traveled

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find someone with an iphone and the dyno app

little warm up excercise before uni starts. if anyone think im wrong, please let me know.

a=(v-v0)/t=(100*(1000/3600))-0/5.8 = ~4.79 m/s^2

Δx = v0.t + 0.5a(t^2)=0+0.5(4.79)(5.8)^2=177.9m

Your displacement was 177.9m or 0.1779 km

Δx= Displacement (m/s)
v=final velocity (m/s)
t=time (s)
v0=initial velocity (m/s)
a=acceleration (m/s^2)


Note: This is assuming your acceleration was constant which more than likely wasn't.

You will have to assume that the acceleration was constant, its way too hard to calculate it with varying acceleration. And the answer wont be much more accurate anyway. Not sure how many rocket scientists are lurking but they can help you if you REALLY need to know.

Calculate average speed (assuming constant acceleration): (final speed-initial speed)/2 then multiply the answer by the time taken. Make sure you use correct units! 27.78 is 100km/h converted to m/s

=((27.78 - 0)/2) * 5.8
=80.56m

RJW, you did the right thing but used your final velocity not your average velocity. And Autopilot got it right, but was inaccurate because of rounding.

^^^^ Clearly more practiced than myself, I couldn't remember the right mathematical symbology, let alone get the correct accurate answer

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www.motorplex.com.au

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this is the only formula you need to know

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