an initial velocity of 30 feet per second at a height of 3 feet. The path the arrow takes can be modeled using the function f(x)=−16x2+30x+3. How many seconds until the arrow hits the ground?

Answer 1

f(x) = 0 when it hits the ground

0=-16x^2 +30x +-3

16x^2 -30x -3 = 0

x = 30/32 + or - (1/32)sqr(30^2 + 64(3)) = 15/16 + or - (1/32)sqr(1092) = 15/16 + 33.045/32

x = 1.033 -+0.938 = 1.971 seconds = almost 2 seconds

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