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A archer releases an arrow with 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, where f(2) represents the height, in feet, of the arrow
and represents the time the arrow travels in seconds. How many seconds until the arrow hits the ground? Round
your answer to the nearest hundredth if necessary..

Respuesta :

Answer:1.97

Step-by-step explanation:

Answer:

1.97

Step-by-step explanation:

The arrow will hit the ground when the height is 0. We need to solve the quadratic equation:

[tex]-16x^{2} +30x+3=0[/tex]

Solving the quadratic equation gives two solutions −0.10 and 1.97 because we know the answer should be a positive number of seconds we can conclude that the object will hit the ground at 1.97 seconds.

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