Physics

Problem

0.50\,\text{kg}

cart moves frictionlessly along the

x

-axis where its potential energy is given by

U(x)=4.0x^{2}-2.0x

(joules, with

x

in meters). The cart is released from rest at

x=1.2\,\text{m}

. Determine the

x

-coordinate at which the cart’s speed is greatest.