01-08-2026, 11:13 AM
## Distance = Speed × Time — The Most Useful Equation You Ever Learned
### 1. The Equation
Distance = Speed × Time
Often written as:
d = v × t
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### 2. What Each Symbol Means
- d = distance
- v = speed (velocity)
- t = time
---
### 3. What the Equation Is Telling Us
This equation links **motion and time**.
If you know any two quantities, you can always find the third.
---
### 4. Where It Comes From (Intuition)
Speed literally means:
“How much distance is covered per unit time”
Multiply that rate by time → total distance travelled.
---
### 5. Worked Example
**If a car travels at 60 mph for 2.5 hours:**
Distance = 60 × 2.5
= **150 miles**
---
### 6. Real-World Applications
- Journey planning
- Fuel estimates
- Space travel calculations
- Sports performance analysis
---
### 7. Common Mistakes
- Mixing units (mph with seconds)
- Forgetting to convert time
- Assuming speed is constant when it isn’t
---
### Try It Yourself
If light travels at 300,000 km/s:
- How far does it go in 1 second?
- How far in 1 minute?
### 1. The Equation
Distance = Speed × Time
Often written as:
d = v × t
---
### 2. What Each Symbol Means
- d = distance
- v = speed (velocity)
- t = time
---
### 3. What the Equation Is Telling Us
This equation links **motion and time**.
If you know any two quantities, you can always find the third.
---
### 4. Where It Comes From (Intuition)
Speed literally means:
“How much distance is covered per unit time”
Multiply that rate by time → total distance travelled.
---
### 5. Worked Example
**If a car travels at 60 mph for 2.5 hours:**
Distance = 60 × 2.5
= **150 miles**
---
### 6. Real-World Applications
- Journey planning
- Fuel estimates
- Space travel calculations
- Sports performance analysis
---
### 7. Common Mistakes
- Mixing units (mph with seconds)
- Forgetting to convert time
- Assuming speed is constant when it isn’t
---
### Try It Yourself
If light travels at 300,000 km/s:
- How far does it go in 1 second?
- How far in 1 minute?
