The velocity of a particle is given by v(t)= cases 4, ;3t , & 0 t 2, 8-2t, ;6 , & t>2

PHYSICS · Single correct · CBSE · Physics · Motion in a Plane · Motion in a Plane

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}

(b)

13\,\text{m/s}

(c)

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

(d)

5\,\text{m/s}