Physics

Problem

A locomotive of mass

2.0\times10^{5}\,\text{kg}

starts from rest on a horizontal track and accelerates uniformly at

0.40\,\text{m}\,\text{s}^{-2}

. Ignore friction. a. (i) Derive an expression for the power developed by the engine as a function of time

t

. b. (ii) Calculate the power output at

t = 30\,\text{s}