Mathematics

Mathematics

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}

at

t=0

and its initial position is

s=0

, what is the particle’s displacement from

t=0

to

t=5\text{ s}

? a)

29\text{ m}

b)

20\text{ m}

c)

15\text{ m}

d)

30\text{ m}

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