Suppose that the vehicle can drive a distance of d 0 on a gallon of gas when tra

Question

Suppose that the vehicle can drive a distance of d0 on a gallon of gas when traveling at a speed v0. Would the vehicle be able to travel a distance greater than, less than, or equal to d0 on a gallon of gas when traveling at a speed of 2v0?

Using the formula for Drag I determined that the distance would be less, but this next part I am having trouble with:

How far will the vehicle be able to travel on a gallon of gas when traveling at speed 2v0? Express your answer in terms of d0.

Every formula I try winds up just showing that the distance would be the same.

Explanation / Answer

Using the formula for Drag, when velocity increases.. the opposing force increases.

In this case , as velocity becomes twice, the force becomes 4 times. and so the deceleration will also be 4 times.

But this will never say that the distance travelled be less.

The distance will remain same.

the distance travelled = d0

even with velocity 2Vo the distance will be same

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