Answer :

Assuming that the deer is traveling at a constant velocity, we use the following formula.

[tex]d=vt[/tex]

Where d = 1.6 km and v = 8.4 m/s. The velocity is positive because it's going North.

[tex]\begin{gathered} 1.6\operatorname{km}=8.4(\frac{m}{s})\cdot t \\ t=\frac{1.6\operatorname{km}}{8.4(\frac{m}{s})} \end{gathered}[/tex]

But, we have to transform the distance from kilometers to meters. We know that 1000 meters are 1 kilometer.

[tex]1.6\operatorname{km}\cdot\frac{1000m}{1\operatorname{km}}=1600m[/tex]

Once we transform the unit, we can find the time.

[tex]\begin{gathered} t=\frac{1600m}{8.4(\frac{m}{s})} \\ t\approx190.48\sec \end{gathered}[/tex]

Therefore, the deer will take 190.48 seconds, approximately.

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