1. The problem statement, all variables and given/known data 2. Relevant equations distance = rate * time 3. The attempt at a solution So the speed of the ball I have as: [t = time] 5 + 32t Which I believe makes sense because the ball is initially traveling @ 5 ft/sec, and after 1 second, the ball is traveling 37 ft/sec, then after 2 seconds the ball is traveling @ 69 ft.sec, etc. I assume we use d = rt (which is distance = rate * time). So the total distance the ball travels is 85 feet which is equal to the total rate of 5 + 32t * time. The equation I set up like this: 85 = (5 + 32t) * t I set up the quadratic like so: 32t^2 + 5t - 85 = 0 I solved it and got: (1/64) * (sqrt(10905) - 5) which is approx. 1.55. I worked it out to check, and 1.55 seconds is much too low for the value: 5 feet + (32 feet * 2 seconds) = 69 feet So after 2 seconds, the ball has only traveled 69 feet, while the quadratic equation states that the ball has traveled 85 feet after 1.55 seconds. What gives?