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Let's go through the questions one by one, based on the image you uploaded about "Stopping distances" at different speeds.

### Question 4:

#### (a) What was the reaction distance at:
- **70 km/h**: 
   - From the graph, the reaction distance at 70 km/h is approximately **30 meters**.
- **100 km/h**:
   - The reaction distance at 100 km/h is approximately **40 meters**.

#### (b) What was the braking distance \( B \) at:
- **80 km/h**:
   - The braking distance at 80 km/h is approximately **40 meters**.
- **50 km/h**:
   - The braking distance at 50 km/h is approximately **20 meters**.

#### (c) What was the total stopping distance on a dry road at:
- **50 km/h**:
   - The total stopping distance at 50 km/h is approximately **40 meters**.
- **100 km/h**:
   - The total stopping distance at 100 km/h is approximately **90 meters**.

#### (d) Write statements comparing the stopping distance needed in wet conditions for a car travelling at 50 km/h with one travelling at 100 km/h.
- In wet conditions, the stopping distance for a car travelling at 50 km/h is significantly shorter than for a car travelling at 100 km/h. At 50 km/h, the stopping distance on a wet road may increase to about **50-60 meters**, while at 100 km/h, it could increase to **around 120-130 meters** or more due to reduced traction and increased braking time on wet surfaces.

#### (e) Write statements comparing the stopping distance needed in wet conditions for a car travelling at 80 km/h with one travelling at 115 km/h using the rugby field as a reference.
- When travelling at 80 km/h in wet conditions, the stopping distance would be roughly **90-100 meters**, which is about the length of a rugby field. However, at 115 km/h, the stopping distance increases dramatically to **over 200 meters**, which is about twice the length of a rugby field. This highlights the danger of higher speeds in wet conditions, where stopping distances can more than double.

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### Expansion Questions:
1. How does braking distance vary with speed and why?
2. Why is reaction time critical when considering stopping distances?
3. What factors affect braking distance aside from road conditions?
4. How do vehicle technology improvements (like ABS) impact stopping distances?
5. Why is it important to increase following distances in poor weather conditions?

### Tip:
Remember, stopping distances increase exponentially with speed, so doubling the speed more than doubles the stopping distance!

Stopping distances at various speeds (70 km/h, 100 km/h, 80 km/h, 50 km/h, 115 km/h). What are the reaction distances, braking distances, and total stopping distances? Compare stopping distances in wet conditions for cars traveling at different speeds.

Explore how reaction distances, braking distances, and total stopping distances vary with speed in this detailed problem for students in grades 9-12. Learn the mathematical concepts behind stopping distances, including key kinematic equations. Perfect for students learning about speed, distance, and reaction time.

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