Physics

Problem

Along the

x

-axis a particle of mass

1\,\text{kg}

experiences a force that varies with position as follows:\nFor

0 \le x \le 2\,\text{m}

F = 5x\,\text{N}

;\nFor

2\,\text{m} < x \le 3\,\text{m}

F = 10\,\text{N}

(constant).\nThe particle starts from rest at

x = 0

. Find its speed when it reaches

x = 3\,\text{m}