An unmanned Spacex rocket is fired off the launchpad in south Texas on a mission to the International Space Station. The rocket travels straight upwards, reaching a constant velocity of 267 m/s, but it explodes into three equal pieces a few seconds later (Elon is distraught). Immediately after the explosion, controllers at NORAD view the first piece moving to the right at 344 m/s, and the second piece moving straight upwards at 204 m/s. What is the speed and direction of the third piece? (*Hints: Draw a picture. Momentum before=momentum after