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A target is suspended on a platform. A dart launcher is placed at ground level and aimed directly at the target along the line of sight (the distance between dart and target can vary infinitely). Assume a bottomless pit below the target. The dart is launched, and regardless of speed, it will hit the target (although the height at which it hits the target varies). Prove that this will always happen.

Half of the assignment is to solve it with given numbers (10m horizontal distance, initial velocity at 24 m/s, 35 deg above horizontal). I had no trouble solving and verifying that part. However, when I try to repeat the same equations without numbers, I end up at -1 = 1.

I scanned the work I've done so far. I'd appreciate it if someone could point out where I went wrong.

My scanned work is available at:

http://webserver.smphoto.com/physics12/ [Broken]

Half of the assignment is to solve it with given numbers (10m horizontal distance, initial velocity at 24 m/s, 35 deg above horizontal). I had no trouble solving and verifying that part. However, when I try to repeat the same equations without numbers, I end up at -1 = 1.

I scanned the work I've done so far. I'd appreciate it if someone could point out where I went wrong.

My scanned work is available at:

http://webserver.smphoto.com/physics12/ [Broken]

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