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Many Amtrak trains can travel at a top speed of 42.0 m/s. Assuming a train maintains that speed for several hours, how many kilometers will the train have traveled after 4.00 hours? Round to the nearest km.

Respuesta :

Answer:

605 km

Explanation:

Hello

the same units of measure should be used, then

Step 1

convert  42 m/s ⇒   km/h

1 km =1000 m

1 h = 36000 sec

[tex]42 \frac{m}{s}*\frac{1\ km}{1000\ m}=0.042\ \frac{km}{s}\\ 0.042\ \frac{km}{s}\\[/tex]

[tex]0.042\ \frac{km}{s}*\frac{3600\ s}{1\ h} =151.2 \frac{km}{h}\\ \\Velocity =151.2\ \frac{km}{h}[/tex]

Step 2

find kilometers traveled after 4  hours

[tex]V=\frac{s}{t}\\ \\[/tex]

V,velocity

s, distance traveled

t. time

now, isolating s

[tex]V=\frac{s}{t} \\s=V * t\\[/tex]

and replacing

[tex]s=V * t\\s=151.2\frac{km}{h}*4 hours\\ s=604.8 km\\[/tex]

S=604.8 Km

Have a great day

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