Units of Measurement
Why are units of measurement like inches and pounds called Imperial units?
Imperial units are called that because they originated from the British Imperial System, which was established during the British Empire.
A car travels 150 kilometers in 3 hours. What is its average speed in kilometers per hour?
50 km per hour
What are SI units of measurement other than kilogram, meter, and second?
(Student mentions other SI units)
What is the difference of speed and velocity?
Speed doesn't have direction, velocity has direction
What are some common units used to measure temperature?
How many seconds are in two hour?
7,200 seconds
An airplane flies at an altitude of 35,000 feet. Convert this altitude to meters. (Hint: 1 foot ≈ 0.3048 meters)
10,668 meters. (35,000 feet × 0.3048 meters/foot = 10,668 meters)
Can an object have a constant speed but a changing velocity?
Yes, an object can have a constant speed but a changing velocity if it is changing direction.
What is the unit of measurement for acceleration?
meters per second squared (m/s²)
You have a piece of fabric that is 2.5 meters long. If you need to cut the fabric into strips each 50 centimeters long, how many strips can you cut?
You can cut 5 strips. (2.5 meters = 250 centimeters; 250 cm / 50 cm = 5)
A car travels 120 kilometers on a highway in 2 hours. After a break, the car continues its journey for another 90 minutes at a speed of 80 kilometers per hour.
Convert the total travel time into minutes.
Time for the first part of the journey: 2 hours = 2 × 60 = 120 minutes
Time for the second part of the journey: 90 minutes
Total time = 120 minutes + 90 minutes = 210 minutes
A car travels 90 kilometers in 2 hours and then another 60 kilometers in 1 hour. What is the total distance traveled, and what is the car's average speed for the entire trip?
Total distance = 90 km + 60 km = 150 km; Total time = 2 hours + 1 hour = 3 hours; Average speed = Total distance / Total time = 150 km / 3 hours = 50 km/h.
A triangle has a base of 0.005 kilometers and a height of 4 meters. What is the area of the triangle in meters?
10 square meters. (Area = 0.5 × base × height; 0.5 × 5 m × 4 m = 10 m²)
An architect is designing a new building and has specified that the height of each floor should be 3.2 meters. If the building will have 15 floors, what will be the total height of the building in meters?
48 meters. (3.2 meters/floor × 15 floors = 48 meters)
A cyclist travels a distance of 60 kilometers in 2 hours. Later, the same cyclist travels another 40 kilometers in 1 hour. What was the cyclist's average speed for the entire trip?
Answer: 33.33 kilometers per hour. (Total distance = 100 km; Total time = 3 hours; Average speed = 100 km / 3 hours ≈ 33.33 km/h)
A car accelerates from 10 meters per second to 30 meters per second in 4 seconds. What is the average acceleration?
Average acceleration = Change in speed / Time = (30 m/s - 10 m/s) / 4 s = 5 m/s²
How to convert 1 nanometer to meter?
A nanometer is a unit of length in the metric system equal to one billionth of a meter (1 nanometer = 10−9 meters or 0.000000001 meters).
A rectangular box has a length of 8 meters, a width of 5 meters, and a height of 3 meters. It is filled with small cubes, each with a side length of 1 meter. How many cubes can fit inside the box?
120 cubes. (Volume of the box = length × width × height; 8 m × 5 m × 3 m = 120 m³; Each cube has a volume of 1 m³, so 120 cubes can fit)
A runner completes a 10-kilometer race in 40 minutes. If the runner maintains a constant velocity throughout the race, what was their velocity in meters per second?
4.17 meters per second. (10 km = 10,000 meters; 40 minutes = 2,400 seconds; Velocity = 10,000 meters / 2,400 seconds ≈ 4.17 m/s)
A bicycle accelerates from 5 meters per second to 15 meters per second in 5 seconds.
Average acceleration = (Final speed - Initial speed) / Time
= (15 m/s - 5 m/s) / 5 s
= 2 m/s²
Time to reach 25 m/s = (Final speed - Initial speed) / Acceleration