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Select the correct answer. A model rocket was launched from the top of a building. The rocket's approximate height can be modeled by the quadratic equation h = -4.9t2 + 53.9t + 127.4, where h is the rocket's height, in meters, after t seconds. When factored, this equation is h = -4.9(t - 13)(t + 2). What is a reasonable time for it to take the rocket to land on the ground? Answer A 11 seconds Answer B 13 seconds Answer C 2 seconds Answer D 15 seconds

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MrRoyal

Answer:

13 seconds.

Step-by-step explanation:

Given

[tex]h = -4.9(t - 13)(t + 2).[/tex]

Required

Determine a reasonable solution for t

To do this, we equate h to 0.

[tex]h = -4.9(t - 13)(t + 2).[/tex] becomes

[tex]0 = -4.9(t - 13)(t + 2).[/tex]

Divide through by -4.9

[tex]0 = (t - 13)(t + 2).[/tex]

Reorder the expression

[tex](t - 13)(t + 2) = 0.[/tex]

Split

[tex]t-13 = 0[/tex] or [tex]t + 2 = 0[/tex]

This gives:

[tex]t = 13[/tex] or [tex]t = -2[/tex]

But time can't be negative, So:

[tex]t = 13[/tex]

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