A car starts at 45 km [W] of a railroad crossing andtravels to 15 km [E] of the railroad in 1.2 h. What isthe velocity of the car in metres per second?
Question
A car starts at 45 km [W] of a railroad crossing andtravels to 15 km [E] of the railroad in 1.2 h. What isthe velocity of the car in metres per second?
Solution
Step 1: Determine the total distance travelled by the car.
The car starts 45 km west of the railroad crossing and ends up 15 km east of it. This means it has travelled a total of 45 km (west to the crossing) + 15 km (crossing to east) = 60 km.
Step 2: Convert the distance from kilometers to meters.
1 km = 1000 m, so 60 km = 60,000 m.
Step 3: Convert the time from hours to seconds.
1 hour = 3600 seconds, so 1.2 hours = 4320 seconds.
Step 4: Calculate the velocity.
Velocity is defined as the total distance travelled divided by the total time taken. So, the velocity of the car is 60,000 m / 4320 s = 13.89 m/s.
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