Understanding Speed and Distance Conversion

The video tutorial explains how to calculate the distance a car travels in three seconds when driving at 90 kilometers per hour. It involves converting the speed from kilometers per hour to meters per second using unit fractions. The tutorial then demonstrates how to calculate the distance using the formula distance equals rate times time, emphasizing the importance of unit simplification in the process.

What is the first step in solving the problem of finding the distance traveled in three seconds?

• Find the distance in kilometers

• Calculate the time in hours

• Convert kilometers per hour to meters per second

• Convert meters to kilometers

How many meters are there in one kilometer?

• 100 meters

• 1500 meters

• 500 meters

• 1000 meters

What is the conversion factor from hours to minutes?

• 1 hour = 30 minutes

• 1 hour = 45 minutes

• 1 hour = 60 minutes

• 1 hour = 90 minutes

What is the purpose of using unit fractions in conversions?

• To simplify the units

• To change the units to a different system

• To increase the number of units

• To eliminate the need for calculations

What is the conversion factor from minutes to seconds?

• 1 minute = 30 seconds

• 1 minute = 45 seconds

• 1 minute = 90 seconds

• 1 minute = 60 seconds

What is the final unit rate of speed in meters per second?

• 20 meters per second

• 25 meters per second

• 30 meters per second

• 35 meters per second

How do you calculate the distance traveled using the unit rate?

• Subtract the unit rate from the time

• Add the unit rate to the time

• Divide the unit rate by the time

• Multiply the unit rate by the time

What is the distance traveled in three seconds?

• 50 meters

• 60 meters

• 75 meters

• 90 meters

Why is it important to keep units consistent in calculations?

• To simplify the problem

• To avoid errors and ensure accuracy

• To use fewer conversion factors

• To make calculations faster

What happens to the units of seconds in the final calculation of distance?

• They are multiplied

• They are subtracted

• They are added

• They cancel out