A particle moves along a straight line with velocity meters per second

MATHEMATICS · Subjective · A Level · Mathematics · Kinematics · Kinematics

Problem

A particle moves along a straight line with velocity

v(t)=3t^{2}-12t+9

meters per second, where

t

is measured in seconds. Determine whether the particle’s speed is increasing or decreasing at

t=4\text{ s}

. Show supporting work.