Physics

Problem

The velocity–time graph of a cart moving in a straight line consists of two segments: from

t=0

t=3\,\text{s}

, the velocity is

+4\,\text{m/s}

; from

t=3\,\text{s}

t=6\,\text{s}

, the velocity is

-2\,\text{m/s}

. The cart’s initial position is

x=0

. What is the cart’s displacement at

t=6\,\text{s}

? a)

+12\,\text{m}

+6\,\text{m}

-6\,\text{m}

+18\,\text{m}