acceleration = dv/dt?

K.I.L.E.R said:
so dv/dt can't be used to determine the acceleration of a car?

Yes, dv/dt is always the acceleration, but dv/dt and delta-v/delta-t aren't the same thing formally speaking (you can thank Mr Newton and his new-fangled calculus for the distinction).

So say to determine the acceleration experimentally you'd measure the speed of the car (V1, V2) at two points in time (T1, T2), then a = (V2-V1)/(T2-T1) would give you an estimate of the average acceleration of the car during that time interval.

But by using that equation you'd be assuming that the acceleration was constant throughout that time interval. This assumption may or may not be correct, and it may or may not matter that the assumption is correct, it really all depends how accurate you want to be.

Thing is, it's force that leads to acceleration, and acceleration leads to a change in velocity. Acceleration isn't caused by a change in velocity. So in using v/t, or delta-v/delta-t you're effectively measuring the acceleration, not calculating it from first principles.
 
Back
Top