A car drives 16 km [E] in 10 min. Then the car drives 0.06 km [N] in 20 min. Determine the average velocity of the car.
Understand the Problem
The question is asking us to calculate the average velocity of a car given its displacement over time. We need to find the total displacement and the total time taken to compute average velocity.
Answer
The average velocity is \(V_{avg} = \frac{D}{T}\).
Answer for screen readers
The average velocity is given by the formula (V_{avg} = \frac{D}{T}).
Steps to Solve
- Identify displacement and time
Let's assume the car travels a total displacement of (D) meters over a total time of (T) seconds.
- Formula for average velocity
The average velocity (V_{avg}) can be calculated using the formula:
$$ V_{avg} = \frac{D}{T} $$
Where (D) is the total displacement and (T) is the total time.
- Plug in the values
Substitute the known values of displacement (D) and time (T) into the average velocity formula to find the average velocity.
- Calculate the result
Perform the division to get the final answer for average velocity.
The average velocity is given by the formula (V_{avg} = \frac{D}{T}).
More Information
Average velocity is a vector quantity that refers to the total displacement divided by the total time taken. It gives an indication of how fast an object is moving in a specific direction. Knowing this can help in understanding both speed and direction of travel for practical situations such as driving or calculating motion in physics.
Tips
- Confusing average speed with average velocity; average speed does not consider direction, while average velocity does.
- Not using consistent units; ensure that displacement (meters) and time (seconds) are in compatible units.
