Question 1058616
height y (in feet) of punted football is approximated by y = -16/2025 x^2 +9/5x + 5/2   where x is horizontal distance (in feet ) from point at which the ball is punted.
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(a)use a graphing utility to graph the path of football.
dl the FREE graph software at www.padowan.dk
Use Insert, enter -16x^2/2025 + 9x/5 + 5/2
Pick a color
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(b)how high is the ball when it is punted ?(find y when x=0)
2.5 feet
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(c)what is the maximum height of football?(round your answer to two decimal places)
It's the vertex of the parabola at x = -b/2a
x = (-9/5)/(-32/2025) = 9*2025/150 = 121.5
y = 31.66 feet
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(d)how far from punter does the football strike the ground?(round your answer to two decimal places)
Find x when y = 0
y = -16/2025 x^2 +9/5x + 5/2 = 0
16x^2 - 3645x - 5062.5 = 0
*[invoke solve_quadratic_equation 16,-3645,-5062.5]
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Ignore the negative value
x =~ 229.19 feet