A particle moves along the positive x-axis under a constant force of

PHYSICS · Single correct · AP · Physics C: Mechanics · Work Energy and Power · Work Energy and Power

Problem

6\,\text{N}

. Its displacement from the origin at time

t

seconds is given by

x = 2t^{3}\,\text{m}

. Which one of the following expressions gives the instantaneous power delivered by the force as a function of time? (a)

12t^{3}\,\text{W}

(b)

36t^{2}\,\text{W}

(c)

36t^{3}\,\text{W}

(d)

12t^{2}\,\text{W}