1. The problem statement, all variables and given/known data A basketball is thrown from a height of 2m. The direction of its velocity when it hits the rim of the basketball hoop is 45 degrees below the horizontal. The basketball hoop is 3m above the ground and 4.5 m in front of the shooter. How long does the ball take to hit the rim, and what is its initial speed? 2. Relevant equations Let a = x velocity, b = intial y velocity, t = time. Kinematics equations, also |x velocity| = |final y velocity| a=4.5/t 1=bt-4.905t^2 b-9.81t=-a (b-9.81t)^2=b^2-19.6 3. The attempt at a solution I know I have more equations than unknowns, but I just go in circles when trying to solve. Sometimes I get a seemingly significant step done but then another equation shows that something went wrong. Please help! Thank you!