1. The problem statement, all variables and given/known data A particle receives an impulse that lasts 1s, coming from a upwards vertical force. This force is given by the following equation: F = -8t²+8t. What is the maximum height reached by the particle? 2. Relevant equations F = -8t²+8t 3. The attempt at a solution [itex]\int(-8t²+8t)dt[/itex] = [itex](-8t³ +12t²)/3[/itex] When t = 1s, I = 4/3. That's what I got as my impulse. For the maximum height, I took the derivative of F and set it = 0, finding that t = 1/2 Now I don't know how to find the height with all the information I have.