A rocket is fired at an angle from the top of a tower of height ℎ0 = 50.0 m. Because of the design of the engines, its position coordinates are of the form () = +2 and () = +3, where , , , and are constants. Furthermore, the acceleration of the rocket 1.00 s after firing is if ⃗a = (4.00⃗i + 3.00⃗j) m/s2. Take the origin of coordinates to be at the base of the tower. (a) Find the constants , , , and , including their SI units. (b) At the instant after the rocket is fired, what are its acceleration vector and its velocity? (c) What are the - and -components of the rocket’s velocity 10.0 s after it is fired, and how fast is it moving? (d) What is the position vector of the rocket 10.0 s after it is fired?