A rocket is fired at an angle from the top of a tower of height h0 = 62.7 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
a⃗ =( 3.40 i^+ 1.20 j^)m/s2.
Take the origin of coordinates to be at the base of the tower.