A $5500-\mathrm{kg}$ cart carrying a vertical rocket launcher moves to the right at s constant speed of $30.0 \mathrm{~m} / \mathrm{s}$ along a horizontal track. It Iauncbes a $45.0$ -kg rocket vertically upward with an initial specd of $40.0 \mathrm{~m} / \mathrm{s}$ relative to the cart. (a) How high will the rocket go?
(b) Where, relative to the cart, will the rocket land? (c) How far does the cart move while tho rocket is in the air? (d) At what anglo, relative to the horizontal, is the rocket traveling jost as it leaves the cart, as measured by an observer at rest on the ground? (e) Sketch the rocket's trajectory as seen by an observer (i) stationary on the cant and (ii) stationary on the ground.