1. The problem statement, all variables and given/known data A football player punts the football so that it will have a time of flight = 4.5s and land 45.7m away. The ball leaves the player's foot 1.52 m above ground. What is initial velocity? (Magnitude and direction) 2. Relevant equations x-x_0 = v_0 * cosθ * t y-y_0 = v_0 * sinθ * t - 1/2 *g*t^2 v_y = v_0 * sinθ - g*t v_y^2 = (v_0*sinθ)^2 - 2g(y-y_0) 3. The attempt at a solution I'm stumped. I can do projectile motion questions, but everytime I have to find initial velocity, I never wind up with the correct answer. All of the above involve knowing the angle. I thought maybe θ = tan-1(y/x) but that gives me the wrong angle since that's the angle if the ball was thrown to the ground instead of kicked. I thought maybe finding the max y height (setting v_y = 0) to solve for angle, but that also involves knowing the angle already. Help? Any tips on solving initial velocity questions? I always get stumped on these type. Sigh.