How do I set up these problems?

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SUMMARY

The discussion focuses on calculating the initial speed of a football punted from a height of 0.75 meters at a 41° angle, covering a horizontal distance of 38 yards. The key equations involved are the kinematic equation y = y0 + v0t - 1/2 gt² and the energy conservation equation v² = u² - 2g(y - y0). These formulas are essential for solving projectile motion problems with a non-zero starting height. The user seeks clarification on applying these equations effectively.

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  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Basic knowledge of trigonometry, specifically angle calculations
  • Concept of gravitational acceleration (g = 9.81 m/s²)
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  • Study the derivation and application of kinematic equations in projectile motion
  • Learn how to resolve vectors into horizontal and vertical components
  • Explore the impact of initial height on projectile trajectories
  • Practice solving similar problems using different initial conditions and angles
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Students studying physics, particularly those focusing on mechanics and projectile motion, as well as educators seeking to clarify concepts related to kinematic equations and their applications.

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Homework Statement



In a football game a ball is punted from an initial height of 0.75 m and at an angle of 41° above the horizontal. If the ball travels a horizontal distance of 38 yd before hitting the ground, what was its initial speed? (Neglect air resistance.)


Homework Equations



I cannot find any information in my textbook relating to problems that have and starting point (y) that is not 0. What formula do I use on these problems? Thanks

The Attempt at a Solution

 
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y=y0+v0t -1/2 gt2use this where y0 is the initial height.

EDIT: this may help as well

v2=u2-2g(y-y0)
 

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