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Cindy shoots a bottle rocket straight up into the air such that its height h, in feet, at time t, in seconds, is given by the function h of t = negative 16 times t squared plus 85 t + 5.. During what interval will the rocket be at least 43 feet above the ground?

Respuesta :

Answer:

t = [0.493,4.2]

Step-by-step explanation:

The height of the rocket straight up into the air is given by :

[tex]h(t)=-16t^2+85t+5[/tex]

We need to find the interval the rocket be at least 43 feet above the ground.

[tex]43\ge -16t^2+85t+5\\\\t\ge 0.493\ and\ t\le 4.82\ s[/tex]

So, the required interval during which the rocket is at least 43 feet above the ground is [0.493,4.2].

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