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**Problem**: A cannon is placed on a tower an UNKNOWN height h from the ground. The cannon is inclined an angle α from the horizontal when a ball is fired. Assuming that there is no friction, that the initial speed of the ball is v0, and that the ball lands a distance L from the base of the tower:
a) How high above ground does the ball go?
b) What is the speed of the ball at the maximum height?
c) What is the height h of the tower?
If needed, you can assume you know h for parts (a) and (b). Write your results in terms of α, v 0, L, g, and h (only for parts a and b). Remember to check the dimensions/units for each answer.

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###### Problem Details

A cannon is placed on a tower an UNKNOWN height h from the ground. The cannon is inclined an angle α from the horizontal when a ball is fired. Assuming that there is no friction, that the initial speed of the ball is v_{0}, and that the ball lands a distance L from the base of the tower:

a) How high above ground does the ball go?

b) What is the speed of the ball at the maximum height?

c) What is the height h of the tower?

If needed, you can assume you know h for parts (a) and (b). Write your results in terms of α, v _{0}, L, g, and h (only for parts a and b). Remember to check the dimensions/units for each answer.

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Based on our data, we think this problem is relevant for Professor Chakraborty's class at UCSD.