A particle is subject to a constant force while its velocity varies with time according to

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A particle is subject to a constant force

F = (5.0\,\mathbf{i} - 4.0\,\mathbf{j})\,\text{N}

while its velocity varies with time according to

v(t) = (2.0t\,\mathbf{i} + 3.0t^2\,\mathbf{j})\,\text{m/s}

, where

t

is in seconds. Derive an expression for the instantaneous power

P(t)

delivered to the particle as a function of time.