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Phil Dawson is a professional place kicker for the Cleveland Browns. On average, he kicks the ball at a 41 degree angle with an initial speed of 70 feet per second. For future reference, goal posts are 10 feet high in the NFL.

a) Write parametric equations to model Dawson's kicks

b) Playing in a dome(no outside conditions), what is the maximum length Dawson can successfully make a field goal?

  • Pre-Calculus - ,

    y = v sinθ t - 16t^2
    x = v cosθ t

    You have θ and v, so plug those in and solve for x when y=10 to get the max goal distance.

    y = x tanθ - 16/(v cosθ)^2 x^2

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