Physics

Problem

2\,\text{kg}

cart moves along a straight track under a position-dependent force given by

F = 8 - 2x

(in newtons) for

0 \le x \le 4\,\text{m}

,\nand

F = -4\,\text{N}

(constant) for

4\,\text{m} < x \le 6\,\text{m}

. (The positive sign of

F

denotes the

+x

direction.) The cart’s speed at

x = 0

3\,\text{m\,s}^{-1}

. Determine its speed at

x = 6\,\text{m}