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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-example-1

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2 votes
Answer:

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

Step-by-step explanation:

The given formula is:


h=-16t^2+v_0t+8

where


\begin{gathered} h=8ft \\ v_0=1280 \end{gathered}

we have:


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

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

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