A particle moves on a straight line with acceleration

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

Problem

a(t)=6t-4

. At

t=0

the velocity is

3\text{ m/s}

and the position is

2\text{ m}

. Which of the following gives the particle’s position

s(t)

for all

t\ge 0

? (a)

t^{3}-2t^{2}+3t

(b)

t^{3}-2t^{2}+3t+2

(c)

3t^{3}-4t^{2}+3t+2

(d)

t^{3}+2t^{2}+3t+2