A rocket is fired at an angle from the top of a tower of height . Because of the design of the engines, its position coordinates are of the form
,
where A, B, C, and D are constants.
Furthermore, the acceleration of the rocket 1.84 s after firing is
Take the origin of coordinates to be at the base of the tower. Now we can use calculus to determine expressions for the velocity and acceleration of the rocket.
(a) Find constant A,B,C,D.
(b) At the instant after the rocket is fired, what is its velocity?
(c) What are the x-and y-components of the rocket's velocity 11.7s after it is fired?
(d) How fast is it moving 11.7s after it is fired?
(e) what is the position vector of the rocket 11.7 s after it is fired?
