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I am looking for a formula to estimate how fast a vehicle travels down a dirt track with the following data:

Jeep #$1$: $1000$ hp, weighs $1700$ pounds and travels $300$ ft. in $3.6$ seconds

Jeep #$2$: $600$ hp, weighs $2500$ pounds and travels $300$ ft. in $4.9$ seconds

Blazer #$1$: $750$ hp, weighs $3000$ pounds and travels $300$ ft. in $4.7$ seconds

Blazer #$2$ $1000$ hp, weighs $2700$ pounds and travels $300$ ft. in how many seconds?

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    This is more a 'what physical assumptions we need to make' question than a mathematical formula one.2012-02-28
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    +1 @Aryabhata. Also, three data points are pitifully little with which to develop any kind of model. A reasonable model would have at least two adjustable parameters (encoding the effect of power and weight, respectively), and at least one of these parameters must be different between the two vehicle types. Already, then, there are so many parameters that _every_ set of 3 given observations can be explained by fiddling with them, and we have no way to see whether the _structure_ of the model fits the data or not.2012-02-28

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