The position of a particle moving along the -axis is given by metres

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Work Energy and Power · Work Energy and Power

Problem

The position of a particle moving along the xx-axis is given by x=3t2+2tx = 3t^{2} + 2t metres, where tt is the time in seconds. A constant force of 10 N10\,\text N acts on the particle along the positive xx-direction. (i) Determine the velocity of the particle as a function of time. (ii) Calculate the instantaneous power delivered by the force at t=4 st = 4\,\text s.

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