A bullet is fired straight up from a gun with initial velocity 1280 feet per second at an initial height of 8 ft. Use the formula h= - 16t^2 + v0t + 8 to determine how many seconds it will take for the bullet to hit the ground. It will hit the ground after _ seconds

A bullet is fired straight up from a gun with initial velocity 1280 feet per second at an initial height of 8 ft Use the formula h 16t2 v0t 8 to determine how m class=

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Answer:

It will take 80 seconds for the bullet to hit the ground

Explanation:

The given formula is:

[tex]h=-16t^2+v_0t+8[/tex]

where

[tex]\begin{gathered} h=8ft \\ v_0=1280 \end{gathered}[/tex]

we have:

[tex]\begin{gathered} 8=-16t^2+1280t+8 \\ 16t^2-1280t=0 \\ 16t(t-80)=0 \\ t=0 \\ OR \\ t=80 \end{gathered}[/tex]

t = 80 is realistic, so we say 80 seconds is the time it will take for the bullet to hit the ground