Hey guys, I just joined the forum and I hate to bother you with this, but after working on my HW questions for awhile I've found one that has completely killed my brain. No matter what I do I cannot get an answer that seems suitable to what the question is asking. Any help on this would be greatly appreciated. So the question is as follows: The troublesome Mooninites Ignignokt and Err have stolen a rocket from NASA and escaped to Mars. On Mars, Err opens the classified instruction documents and learns that this is no ordinary rocket but one with an experimental engine that provides a time-dependent thrust for exactly 10 seconds after which the engines shut off completely. The thrust provided by the rocket engines can be expressed as F(t) = −24t 2 +144t and is purely in the vertical direction. Up to no good as usual, they decide to fire off the rocket from the surface of Mars. Neglecting air resistance and assuming the rocket has a mass of 2kg, how long is the rocket airborne before it crashes back to the ground and what is the rocket’s maximum elevation? The Thrust equation (having a negative involved) is messing everything in my equation up. According to my professor this problem should only take me five minutes, but I've spent the last two hours doing velocity and accleration for each and every second as well as for the problem itself, and nothing is getting me anywhere. Any assistance in helping me keep my sanity would help a ton! Thanks for you time guys.