A particle moves along a straight track

PHYSICS · Subjective · AP · Physics C: Mechanics · Work Energy and Power · Work Energy and Power

Problem

A 0.5 kg0.5\,\text{kg} particle moves along a straight track. At x=0x=0 m its speed is 1 m s−11\,\text{m\,s}^{-1}. The force acting on it varies with position as follows: (i) 0≤x≤20\le x\le 2 m: F=4xF=4x N, (ii) 2<x≤32<x\le3 m: F=8F=8 N (constant). Find the speed of the particle at x=3x=3 m.

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