The velocity of a particle is

MATHEMATICS · Multi-part · A Level · Mathematics · Kinematics · Kinematics

Problem

v(t)=12t-5\;\text{m s}^{-1}

, where

t

is in seconds. The particle is

7\text{ m}

from the origin at

t=0

. (i) Determine its position function

s(t)

. (ii) Find its acceleration at

t=3\text{ s}