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

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

A particle moves along a straight line with velocity

v(t)=4t-6

meters per second for

t\ge 0

. An antiderivative of

v

s(t)=2t^{2}-6t+C

, where

C

is a constant. Which of the following best describes the quantity represented by

C

? (a) The maximum position attained by the particle for

t\ge 0

(b) The displacement of the particle between

t=0

and

t=1

second (c) The particle’s position at

t=0

seconds (d) The total distance traveled by the particle for

t\ge 0