1. Ray rides an airplane to go to Hawaii, about 3,500 miles southwest from San Jose, California. If it takes 5 hours to get to Hawaii, what is the airplane's velocity? 2. Taayiyah... 1. Ray rides an airplane to go to Hawaii, about 3,500 miles southwest from San Jose, California. If it takes 5 hours to get to Hawaii, what is the airplane's velocity? 2. Taayiyah rides a motorcycle traveling 10 km west in 3 hours. What is her velocity?
Understand the Problem
The question involves calculating speeds and velocities based on given distances and times. It asks to solve problems involving basic speed-distance-time relationships for different scenarios.
Answer
1. 700 miles/hour southwest; 2. 3.33 km/hour west.
Answer for screen readers
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Airplane's speed: 700 miles/hour southwest.
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Motorcycle's speed: 3.33 km/hour west.
Steps to Solve
- Calculate the Airplane's Speed
To find the airplane's speed, use the formula for speed, which is:
$$ \text{Speed} = \frac{\text{Distance}}{\text{Time}} $$
Given that the distance to Hawaii is 3,500 miles and the time taken is 5 hours, substitute these values into the formula:
$$ \text{Speed} = \frac{3500 \text{ miles}}{5 \text{ hours}} $$
- Perform the Calculation
Now, calculate the speed:
$$ \text{Speed} = 700 \text{ miles/hour southwest} $$
This is the airplane's speed.
- Calculate the Motorcycle's Speed
Next, for the motorcycle, use the same formula for speed:
$$ \text{Speed} = \frac{\text{Distance}}{\text{Time}} $$
Given the motorcycle travels 10 km in 3 hours, substitute these values:
$$ \text{Speed} = \frac{10 \text{ km}}{3 \text{ hours}} $$
- Perform the Calculation for the Motorcycle
Now, calculate the speed:
$$ \text{Speed} \approx 3.33 \text{ km/hour west} $$
This is the motorcycle's speed.
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Airplane's speed: 700 miles/hour southwest.
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Motorcycle's speed: 3.33 km/hour west.
More Information
The calculations provided illustrate how to determine speed using the distance and time information given. The first problem involves miles and the second uses kilometers, showcasing the concept of speed in different unit systems.
Tips
- Forgetting to include units: Always ensure to mention the units in your answers.
- Dividing incorrectly: Double-check calculations to avoid simple arithmetic errors.
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