Final answer:
In a right-handed Cartesian coordinate system used in physics, the conventionally positive directions are to the right and forward, which corresponds to choice c. forward and to the right.
Step-by-step explanation:
When setting up a coordinate system in physics, particularly in kinematics, there is a set of conventions that are typically observed regarding the signs of axes.
In a typical right-handed Cartesian coordinate system, the positive directions are generally to the right (x-axis) and forward (z-axis for three-dimensional scenarios) when referring to movements along a plane or in space. Therefore, the correct choice that matches these conventional positive directions is c. forward and to the right.