At time seconds

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

At time

t

seconds, a particle in the plane has velocity vector

v(t)=\langle 3t^{2}-2,\,4t\rangle

(meters per second). Calculate the speed of the particle at

t=2

seconds. (a)

164\text{ m/s}

(b)

4\sqrt{10}\text{ m/s}

(c)

2\sqrt{41}\text{ m/s}

(d)

18\text{ m/s}