A particle has velocity m/s at time seconds

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A particle has velocity

v(t)=4t^{3}-3t

m/s at time

t

seconds. If its position at

t=0

is 2 m, determine its position at

t=2

seconds. (a)

18\text{ m}

(b)

10\text{ m}

(c)

12\text{ m}

(d)

14\text{ m}