Football Projectile Motion Homework: Solving for Angle and Formula

AI Thread Summary
To determine the angle at which the football is kicked, use the vertical and horizontal components of the initial velocity, which are 40 m/s and 50 m/s, respectively. The angle can be calculated using trigonometric functions, specifically the tangent function, where the angle equals the arctan of the vertical component divided by the horizontal component. Graphing the vectors using the head-to-tail method can visually aid in understanding the resultant vector. The formula for the angle is derived from the relationship between the components, allowing for a clear calculation. This approach effectively combines vector addition and trigonometry to solve the problem.
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Homework Statement


a football is kicked at a certain angle above the horizontal. the vertical component of its initial velocity is 40 m/s and the horizontal component is 50 m/s.

Homework Equations


what is the angle in the problem? what kind of formula can i use?
 
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You are given 2 vectors. Graph them. Add them (head-to-tail method). Use elementary trigonometry to find angle.
 
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