Final answer:
The speed of the cart rolling through the rain will not be affected by the rainwater accumulating in the cart.
Step-by-step explanation:
In this scenario, the speed of the cart rolling through the rain will not be affected by the rainwater accumulating in the cart.
This is because the problem states that the surface is level and there is no friction between the cart and the surface. Therefore, the rainwater will not create any additional resistance to the motion of the cart.
So, the speed of the cart will remain constant as it rolls through the rain.