Question

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.

Answer 1

605 km

Step-by-step 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

`42 (m)/(s)*(1\ km)/(1000\ m)=0.042\ (km)/(s)\\ 0.042\ (km)/(s)\\`

`0.042\ (km)/(s)*(3600\ s)/(1\ h) =151.2 (km)/(h)\\ \\Velocity =151.2\ (km)/(h)`

Step 2

find kilometers traveled after 4 hours

`V=(s)/(t)\\ \\`

V,velocity

s, distance traveled

t. time

now, isolating s

`V=(s)/(t) \\s=V * t\\`

and replacing

`s=V * t\\s=151.2(km)/(h)*4 hours\\ s=604.8 km\\`

S=604.8 Km

Have a great day