1. The problem statement, all variables and given/known data A 5000kg rocket is launched at 44.7º with a thrust of 140,700N. a. Find an equation y(x) that describes the rocket's trajectory. b. Shape of trajectory? c. At what elevation does the rocket reach the speed of sound, 330m/s? 2. Relevant equations F=ma The distance, acceleration, and velocity formulas. 3. The attempt at a solution First, I found the acceleration = 22.36 m/s^2 (this is after including gravity). I drew a triangle and calculated the acceleration's x and y components. acceleration of x comp. = 20 m/s^2. acceleration of y comp. = 10 m/s^2 (including gravity). Using these acceleration x and y components, I found the x and y components for distance: distance of x comp. = 2.486t. distance of y comp. = 1.131t. For part a: So, I wasn't sure exactly what they wanted for part a but this is what I did. The answer in the back of the book says y=(1/2)x, so I'm guessing they want the distance of y as a function of x (which is what the answer was). I'm not sure how to do that. For part b: I figured the shape of the trajectory would be parabolic since it is constantly accelerating. I thought trajectory was only a straight line if velocity was constant? For part c: Using my equations, I calculated it to be 37.32m, which is not correct. Any help would be greatly appreciated, I'm doing these in preparation for a test and I really need to understand these type of problems.