(a) An unpowered rocket is in flight in air. At a moment the tracking radar gives following data regarding the rocket. r = distance of the rocket from the radar = `4000m, (dr)/(dt) = 0,(d theta)/(dt) = 1.8 "deg"//sec`, where `theta` is the angle made by position vector of the rocket with respect to the vertical.

(a) Neglect atmospheric resistance and take `g = 9.8 m//s^(2)` at the concerned height. Neglect height of radar. Calculate the height of the rocket above the ground.
(b) Two points A and B are moving in X - Y plane with constant velocity of `V_(A)= (6hati - 9 hatj ) m//s` and `V_(B) = (hati+hatj) m//s` respectively. At time `t = 0` they are 15 m apart and both of them lie on y axis with A lying away on positive Y axis with respect to B. What is the angular velocity of A with respect to B at `t = 1 s`?

Answer

(a) `1600 m` (b) `(3)/(2) rad//sec`