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(Solved): A football is kicked such that it is launched at an angle \( \theta \) as shown in the drawing of ...



A football is kicked such that it is launched at an angle \( \theta \) as shown in the drawing of the subsequent trajectory.

A football is kicked such that it is launched at an angle \( \theta \) as shown in the drawing of the subsequent trajectory. The drawing also indicates various positions along the path. If the corresponding speeds at these points are \( v_{1}, v_{2}, v_{3} \), and \( v_{4} \), assume there is no air resistance and rank the speeds from smallest to largest. Note the symbols "=" and " \( < \) mean "equals" and "less than," respectively. Also, the point labeled "4" is just before the ball touches the ground. \[ \begin{array}{l} v_{1}


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