A rocket is fired at an angle from the top of a tower of height ho = 50.0 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 1.00 s after firing is a = (4.00i + 3.00j) m/s .
Take the origin of coordinates to be at the base of the tower.
(a) Find the constants A, B, C, and D, 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 x- and y-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?
Question Four
Figure 2
A bowling ball weighing 71.2 N is attached to the ceiling by a 3.80-m rope. The ball is pulled to one side and released; it then swings back and forth as a pendulum. As the rope swings through the vertical, the speed of the bowling ball is 4.20 m/s.
(a) What is the acceleration of the bowling ball, in magnitude and direction, at this instant?
(b) What is the tension in the rope at this instant? (10 marks)
