Final answer:
The cart continues to move with a constant acceleration of 0.50 m/s² in the +x-direction when t>5s.
Step-by-step explanation:
The cart continues to move with a constant acceleration of 0.50 m/s² in the +x-direction when t>5s. This means that the cart's velocity will continue to increase at a constant rate in the positive x-direction. The cart will not come to a stop or change direction, as there is no indication of a negative acceleration or any external forces acting on the cart.