Chapter 8, Problem 49P

A 4.0-kg particle moving along the $x$ -axis is acted upon by the force whose functional form appears below. The velocity of the particle at $x$ = 0 is $v$ = 6.0 m/s. Find the particle’s speed at
$x=(a)2.0\text{m,}$ 2.0 (b)4.0 m. (c) $10.0\text{m,}$ (d) Does the particle turn around at some point and head back toward the origin? (e) Repeat part (d) if $v$ = 2.0 m/s at $x$ = 0.