Projectile motion question 1. The problem statement, all variables and given/known data A 5200 kg cart carrying a vertical rocket launcher moves to the right at a constant speed of 33.0 m/s along a horizontal track. It launches a 49.4 kg rocket vertically upward with an initial speed of 43.1 m/s relative to the cart. a)How high will the rocket go? b)How far does the cart move while the rocket is in the air? c)At what angle, relative to the horizontal, is the rocket traveling just as it leaves the cart, as measured by an observer at rest on the ground? d) What is the rocket's trajectory as seen by an observer stationary on the cart. the rocket travels in a cycloid the rocket travels straight up and then straight down the rocket travels in a parabola e)What is the rocket's trajectory as seen by an observer stationary on the ground. the rocket travels in a cycloid the rocket travels straight up and then straight down the rocket travels in a parabola 2. Relevant equations Any constant acceleration equation. Vo sin theta = Voy Vo cos theta = Vox 3. The attempt at a solution a) 0= Voy^2 + 2(-980)(Ymax) ymax = 94.8 m Is this right? b) Then the total distance traveled by the cart, isn't it just 94.8 * 2 =189.6 m? c) x sin theta = 43.1 m/s x cos theta =38.0 m/s theta = 48.59 degrees. Is this right? d) Is straight up and down correct, since Vox and Vx are constant with ax=o. e)Is the parabola correct? I don't know why scientifically, but I'm pretty sure an observer(outside of cart) would see a parabola, since one obviously does occur. Is this all right or not? Thanks.