A particle moves along a line with acceleration a(t)= cases 3 & 0 t 2, -2 & 2< t 5

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A particle moves along a line with acceleration

a(t)=\begin{cases} 3 & 0\le t\le 2,\\ -2 & 2< t\le 5, \end{cases}

measured in m/s

^{2}

. If its velocity is

1\text{ m/s}

t=0

and its initial position is

s=0

, what is the particle’s displacement from

t=0

t=5\text{ s}

? (a)

29\text{ m}

(b)

20\text{ m}

(c)

15\text{ m}

(d)

30\text{ m}