h=113t-16t^2
Find all values of t for which the rocket's height is 39 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)

h113t16t2 Find all values of t for which the rockets height is 39 feet Round your answers to the nearest hundredth If there is more than one answer use the or b class=

Respuesta :

The value of "t" for which the rocket's height is 39 feet are 14.59sec

Maximum Height reached

Given the expression for the height expressed as:

  • [tex]h=113t-16t^2[/tex]

If the rocket's height is 39 feet, the expression becomes:

[tex]39=113t-16t^2[/tex]

Rewrite the expression

[tex]39=113t-16t^2\\16t^2-113t + 39 = 0[/tex]

t = 113±√(-113)²-4(16)(39)/32

t = 113±√12,7690-2,496/32

t =  113±353.82/32

t = 14.59sec

Factorize the result

The value of "t" for which the rocket's height is 39 feet are 14.59sec

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