Car makes a rattle noise while accelarating.

Time to attack the car with a rubber hammer. In particular, check the catalytic converters for a substrate that's broken loose. Look at the anti-sway bar links, although those are heard more at low speeds.

There is a tool you might be able to borrow or rent from an auto parts store that borrows them called the "Chassis Ear". It is a set of six microphones, a switch box, and headphones. You clip the microphones to suspect points, then drive around while listening with the headphones. You can move the microphones around to zero in on the source of the noise. Be aware that many mechanics have never seen or even heard of this tool. Suspension and alignment mechanics use it to find rattles, squeaks, and other noises.