Physics

Problem

The velocity of a particle is given by

v(t)= \begin{cases} \langle 4,\;3t\rangle, & 0\le t\le 2,\\ \langle 8-2t,\;6\rangle, & t>2, \end{cases}

where

t

is in seconds and the components are in meters per second. Determine the speed of the particle at

t=2

seconds. a)

10\,\text{m/s}

13\,\text{m/s}

2\sqrt{13}\,\text{m/s}

5\,\text{m/s}