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Sagot :

Step-by-step explanation:

Identity the variable:

Initial Velocity is 35.

Initial Height is 204

Final Height is 0.

What looking for the time.

So we have

[tex]0 = - 16 {t}^{2} + (35)t + 204[/tex]

Use Quadratic Formula,

[tex] - b± \frac{ \sqrt{b {}^{2} - 4ac} }{2a} [/tex]

A is -16, B is 35 , C is 204.

So we have

[tex] - 35± \frac{ \sqrt{ {35}^{2} - 4( - 16)(204) } }{ - 32} [/tex]

[tex] - 35± \frac{ \sqrt{1225 + 2240} }{ - 32} [/tex]

[tex] - 35± \frac{ \sqrt{3465} }{ - 32} [/tex]

[tex]{35} ± \frac{ \sqrt{3465} }{ - 32} [/tex]

The positve solution is

[tex]4.83[/tex]

So the answer is 4.83 seconds

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