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Eyjafjallajökull is a volcano in Iceland. Ina research reuption a projectile is ejected with an initial velcony of 304 feet per second. The height H, in feet is given the equation H=16t^2 + 304t

Respuesta :

Answer:

t = 9.5 seconds

Step-by-step explanation:

Given that,

The initial velocity of the projectile is 304 ft/s

The height of the projectile is given by :

[tex]H=16t^2 + 304t[/tex]

For maximum height,

Put h' = 0

[tex]h'=-32t+304[/tex]

or

[tex]-32t+304=0\\\\t=\dfrac{304}{32}\\\\t=9.5 \ s[/tex]

So, the time taken to reach the maximum height is 9.5 seconds.

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