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

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

A particle moves along a line with velocity

v(t)=-3t^{2}+12t-7

meters per second for

0\le t\le4

. Given

s(0)=0

, at what time

t

does the particle attain its absolute minimum position on this interval? (a)

t=2

(b)

t=0

(c)

t=2-\dfrac{\sqrt{15}}{3}

(d)

t=2+\dfrac{\sqrt{15}}{3}