Max Field Goal Distance for Vo=68, k=.027, theta=39 Degrees

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The discussion focuses on calculating the maximum field goal distance for a kicker with an initial velocity of 68 ft/s at a 39-degree angle, resulting in a distance of 126.64 feet when ignoring drag forces. The second part of the problem involves incorporating a drag force model, which complicates the equations of motion for the ball. Participants express confusion about deriving the horizontal and vertical position equations, particularly regarding the integration process needed to account for drag. Suggestions are made to refer to previous threads for guidance. The conversation highlights the challenges of applying physics concepts to real-world scenarios in sports.
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When Vo=68 ; k=.027 ; theta = 39 degrees

(a) The American Football kicker lines up to attempt a field goal . Take the balls initial position to be the origin. For the field goal to be good it must pass between the upstairs, and over the crossbar which are 10 feet above ground level. Assuming the ball is kicked straight ( directly between the upright ), and the ball is given an initial velocity of Vo at an angle theta answer the following questions.

(a)What is the maximum field goal distance for this kicker if you ignore all drag forces.

I solved (a) to be 126.64 in the x direction.

(b) If we include a crude model for the drag force in which the net acceleration on the ball is given by:
a=(-k * vx ) i + (-g -k * Vy) j ( ft/s2 )

Derive the equations describing the horizontal and vertical positions as functions of time.- I am lost when I get to (b) and also i couldt get the picture to load but its basicly a football x yards away from a goal post 10 ft in the air. I am just confused on how to start this off my teacher said there would be a few integrals in this problem and i tried relating

a = dv/dt solving for v then v = ds/dt for each component but it didt work

the vx and vy are velocity in x nd veloctiy in y i just couldt get the subscipts on this computer I am on
 
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anybody have any ideas
 
2slowtogofast: Perhaps try thread 291331[/color].
 
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