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Shooting the Breeze- Obtaining the Theta Angle

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A student throws rocks from the roof of a building. All of the rocks are thrown with the same initial speed v_0 and from the same initial height y_0, but they are thrown with different angles with respect to the horizontal. Derive an expression for theta_1, the angle at which the rock will land if thrown horizontally. Express your answer in terms of the given variables and g, the magnitude of the acceleration due to gravity.

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Solution Summary

This answer provides the expression for the angle theta at which the rock will land if it is thrown horizontally. An expression is derived using the parameters of speed and height, as well as a tan property.

Solution Preview

For a falling mass, if thrown horizontally, we have the following equations:
y = 1/2gt^2 (1)
x = v_0t (2)

In ...

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