In the 1950's the science fiction author Arthur C. Clarke wrote of a way to use the Earth's rotation for a free burst of speed to launch spaceships. His idea was to build an elevator from the earth's equator to a platform thousands of miles up where ships can launch into space. Since the discovery of C-60, a.k.a. Buckyballs, this might actually be a possibility by building the elevator out of a chain of Buckyball nanotubes (cylindrical molecules of carbon with many times the strength of steel). A 1000 kg ship is set to launch from a platform at the top of the space elevator. It takes one week at a constant speed for the ship to ascend the elevator, which will reach a final height of about 80,000 km from the surface of the Earth. Atop the elevator it sits on a platform and fires its rockets parallel to the platform so that it "flies" horizontally along the platform. It takes two seconds for the rocket to leave the platform and during that time it fires its rockets for a constant acceleration of 300 m/s2 and then turns them off once off of the platform. For all of the following write your algebra symbolically first, before plugging in numbers (you should always do this!). What is its initial tangential speed as soon as it leaves the platform?