1. The problem statement, all variables and given/known data A balloon is attached to a 3m high pole. On the ground is a mortar that fires at a velocity of 7m/s at an angle of 55degrees. How far away does the mortar have to be to hit the balloon? 2. Relevant equations y=tan(theta)x-g/(2v0cos2(theta)x2 3. The attempt at a solution I rearranged to make a quadratic equation from the equation above and made g/(2v0cos2(theta)x2 - tan(theta)x+y=0 -9.81m/s2/(2*(7m/s)2(cos2(55deg)x2 - tan(55)x+3m and ended up with 1.58m and -6.34m I understand that there will be two solutions because the projectile can hit the balloon on the way up and the way down but i dont think these answers are correct.