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A field goal kicker kicks the football so that it leaves the ground with velocity V that is 50 degrees above horizontal. The ball travels for 3.24s and hits the crossbar 10.00 ft above the ground. Neglect air resistance.

Find the velocity after the kicker kicks the ball.

Find the horizontal distance the ball was from when kicked.

Ok, I wrote all the basic equations of motion. All my attempts to combine the equations through substitution netted me too many variables and I couldn't solve anything. I really don't understand where I'm going astray. This problem wouldn't be very difficult if the ball wasn't hitting the crossbar above the ground. Also, finding the distance would by child's play if I could just wrangle the initial velocity out of this thing.

Edit: This isn't really a homework problem, it's on a study guide and I'm almost certain I'll see something like it on my exam tomorrow. I'm not looking so much for a solution but a general strategy that lets me attack projectile problems like this when the projectile doesn't land at y=0.

Find the velocity after the kicker kicks the ball.

Find the horizontal distance the ball was from when kicked.

Ok, I wrote all the basic equations of motion. All my attempts to combine the equations through substitution netted me too many variables and I couldn't solve anything. I really don't understand where I'm going astray. This problem wouldn't be very difficult if the ball wasn't hitting the crossbar above the ground. Also, finding the distance would by child's play if I could just wrangle the initial velocity out of this thing.

Edit: This isn't really a homework problem, it's on a study guide and I'm almost certain I'll see something like it on my exam tomorrow. I'm not looking so much for a solution but a general strategy that lets me attack projectile problems like this when the projectile doesn't land at y=0.

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