Problem Explanation and Solution:
The image provides a worksheet on
Time, Speed, and Distance. The key formula to solve these problems is:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
We will use this formula to solve each of the three problems step by step.
---
Problem 1:
John travels 300 km in 3 hours. What was his average speed in km/h?
#### Step-by-Step Solution:
1.
Identify the given values:
- Distance = 300 km
- Time = 3 hours
2.
Use the formula for speed:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
3.
Substitute the values:
\[
\text{Speed} = \frac{300 \text{ km}}{3 \text{ hours}}
\]
4.
Perform the division:
\[
\text{Speed} = 100 \text{ km/h}
\]
#### Final Answer:
\[
\boxed{100 \text{ km/h}}
\]
---
Problem 2:
Erika runs 100 m in 12 s. What is her average speed in m/s? Round your answer to the nearest m/s.
#### Step-by-Step Solution:
1.
Identify the given values:
- Distance = 100 m
- Time = 12 s
2.
Use the formula for speed:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
3.
Substitute the values:
\[
\text{Speed} = \frac{100 \text{ m}}{12 \text{ s}}
\]
4.
Perform the division:
\[
\text{Speed} = 8.333\ldots \text{ m/s}
\]
5.
Round to the nearest m/s:
\[
\text{Speed} \approx 8 \text{ m/s}
\]
#### Final Answer:
\[
\boxed{8 \text{ m/s}}
\]
---
Problem 3:
A soccer ball travels 10 m in 1.2 s. What is the average speed of the soccer ball in m/s? Round your answer to the nearest m/s.
#### Step-by-Step Solution:
1.
Identify the given values:
- Distance = 10 m
- Time = 1.2 s
2.
Use the formula for speed:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
3.
Substitute the values:
\[
\text{Speed} = \frac{10 \text{ m}}{1.2 \text{ s}}
\]
4.
Perform the division:
\[
\text{Speed} = 8.333\ldots \text{ m/s}
\]
5.
Round to the nearest m/s:
\[
\text{Speed} \approx 8 \text{ m/s}
\]
#### Final Answer:
\[
\boxed{8 \text{ m/s}}
\]
---
Summary of Answers:
1. John's average speed: \(\boxed{100 \text{ km/h}}\)
2. Erika's average speed: \(\boxed{8 \text{ m/s}}\)
3. Soccer ball's average speed: \(\boxed{8 \text{ m/s}}\)
Parent Tip: Review the logic above to help your child master the concept of calculating speed time distance and acceleration worksheet answers.
