Problem Explanation and Solution
The worksheet focuses on calculating
speed and
velocity. Here's a breakdown of each problem, along with the solutions:
---
####
1. A bird flies a distance of 50 km in 30 minutes. What is the speed of the bird?
-
Formula for Speed:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
-
Given:
- Distance = 50 km
- Time = 30 minutes
-
Convert time to hours (since speed is typically measured in km/h):
\[
30 \text{ minutes} = \frac{30}{60} \text{ hours} = 0.5 \text{ hours}
\]
-
Calculate Speed:
\[
\text{Speed} = \frac{50 \text{ km}}{0.5 \text{ hours}} = 100 \text{ km/h}
\]
-
Final Answer:
\[
\boxed{100 \text{ km/h}}
\]
---
####
2. An elephant covers 25 km in 2 hours. What is the speed of the elephant?
-
Formula for Speed:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
-
Given:
- Distance = 25 km
- Time = 2 hours
-
Calculate Speed:
\[
\text{Speed} = \frac{25 \text{ km}}{2 \text{ hours}} = 12.5 \text{ km/h}
\]
-
Final Answer:
\[
\boxed{12.5 \text{ km/h}}
\]
---
####
3. A car travels 90 km in 1.5 hours going southwest. What is its velocity?
-
Formula for Velocity:
\[
\text{Velocity} = \frac{\text{Displacement}}{\text{Time}}
\]
Note: Velocity is a vector quantity, so it includes both magnitude (speed) and direction.
-
Given:
- Displacement = 90 km (southwest)
- Time = 1.5 hours
-
Calculate Velocity:
\[
\text{Velocity} = \frac{90 \text{ km}}{1.5 \text{ hours}} = 60 \text{ km/h} \text{ (southwest)}
\]
-
Final Answer:
\[
\boxed{60 \text{ km/h southwest}}
\]
---
####
4. If it took you 180 seconds to cover 600 meters from your house to your school, what is your velocity?
-
Formula for Velocity:
\[
\text{Velocity} = \frac{\text{Displacement}}{\text{Time}}
\]
Note: Velocity is a vector quantity, so it includes both magnitude (speed) and direction.
-
Given:
- Displacement = 600 meters
- Time = 180 seconds
-
Calculate Velocity:
\[
\text{Velocity} = \frac{600 \text{ meters}}{180 \text{ seconds}} = \frac{600}{180} \text{ m/s} = \frac{10}{3} \text{ m/s} \approx 3.33 \text{ m/s}
\]
-
Final Answer:
\[
\boxed{3.33 \text{ m/s}}
\]
---
Summary of Final Answers:
1. Speed of the bird: \(\boxed{100 \text{ km/h}}\)
2. Speed of the elephant: \(\boxed{12.5 \text{ km/h}}\)
3. Velocity of the car: \(\boxed{60 \text{ km/h southwest}}\)
4. Velocity of the person: \(\boxed{3.33 \text{ m/s}}\)
These calculations demonstrate the application of the formulas for speed and velocity, ensuring that units are consistent throughout the process.
Parent Tip: Review the logic above to help your child master the concept of velocity worksheet.
