Problem: A rocket is fired at an angle from the top of a tower of height exttip{h_0}{h0} = 50.1 m . Because of the design of the engines, its position coordinates are of the form x( t ) = A + Bt2 and y( t ) = C + Dt3, where A, B, C , and D are constants. Furthermore, the acceleration of the rocket 1.60 s after firing is a = ( 4.10 i+ 3.60 j)2. Take the origin of coordinates to be at the base of the tower.Find the constant A.At the instant after the rocket is fired, what is its acceleration vector?What are the x- and y-components of the rockets velocity 15.1 s after it is fired?What is the position vector of the rocket 15.1 s after it is fired?Find the constant B.Find the constant C.Find the constant D.At the instant after the rocket is fired, what is its velocity?How fast is it moving 15.1 s after it is fired?