The acceleration of a particle moving along a line is given by meters per second squared

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

The acceleration of a particle moving along a line is given by

a(t)=6t-4

meters per second squared, where

t

is measured in seconds. At

t=0

, the velocity of the particle is

3\text{ m/s}

and the position is

2\text{ m}

. Determine the position of the particle at

t=3

seconds. (a)

17\text{ m}

(b)

20\text{ m}

(c)

18\text{ m}

(d)

11\text{ m}