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Sagot :
We are given that an object falls with an acceleration of -6 miles/h/s. To determine the initial velocity we will use the following motion:
[tex]v_f=v_0+at[/tex]Where:
[tex]\begin{gathered} v_f,v_0=\text{ final and initial velocity} \\ a=\text{ acceleration} \\ t=\text{ time} \end{gathered}[/tex]Now, we solve for the initial velocity by subtracting "at" from both sides:
[tex]v_f-at=v_0[/tex]Now, we plug in the values:
[tex]80\frac{mi}{h}-(6\frac{mi}{hs})(5s)=v_0[/tex]Now, we solve the operations:
[tex]50\frac{mi}{h}=v_0[/tex]Therefore, the initial velocity is 50 mi/h.
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