Solution: A particle of unit mass moves on a straight line under the action of a force
Chapter 12, Problem 80(choose chapter or problem)
A particle of unit mass moves on a straight line under the action of a force which is a function f(v) of the velocity v of the particle, but the form of this function is not known. A motion is observed, and the distance x covered in time t is found to be connected with t by the formula \(x=a t+b t^{2}+c t^{3}\), where a, b, and c have numerical values determined by observation of the motion. Find the function f(v) for the range of v covered by the experiment.
Text Transcription:
x=at+bt^2+ct^3
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