Help: with two distancehow do you find velocity?

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To determine the initial speed required for May Belle to reach Joe Bob, the problem involves analyzing projectile motion with gravitational effects. The key is to break down the motion into horizontal and vertical components using the angle of projection and the distances involved. The equations of motion for both the x (horizontal) and y (vertical) components must be established, allowing for the calculation of initial velocity and the trajectory. Solving these equations will yield both the magnitude and direction of May Belle's velocity at the moment of reaching Joe Bob. Understanding these principles is crucial for solving similar physics problems.
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Homework Statement


a new circus act is called the Texas Tumblers. Lovely May Belle swings from a trapeze, projects herself at an angle 53 degrees, and is supposed to be caught by joe bobb, whose hands are 6.1 m abive and 8.2 m horizontally from her launch point. ignore air resistance. Waht is initial speed must mary belle have to just reach joe bob? What are the magnitude and direction of her velocity when mary belle reaches job bob.


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The Attempt at a Solution





i tried most formulas, but I can't seem to find a reasonable answer.
help please?
 
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This is motion that is affected by gravity. Acceleration = gravity. List the equations of motion that you have for this.
 
You'll have two equations and two unknowns that you need to solve. Write out of the equations for the x and y component of the motions. I hope this hint helps.
 
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