For a standard production car, the highest road-tested acceleration ever reported occurred in 1993, when a Ford RS200 Evolution went from zero to 26.8 m/s (60mi/ h) in 3.275 s. Find the magnitude of the car's acceleration.

To find the magnitude of the car's acceleration, we can use the following formula from physics:

\[
a = \frac{\Delta v}{\Delta t}
\]

where:
- \( a \) is the acceleration,
- \( \Delta v \) is the change in velocity,
- \( \Delta t \) is the change in time.

Given:
- Initial velocity (\( v_0 \)) = 0 m/s (since the car started from rest),
- Final velocity (\( v_f \)) = 26.8 m/s,
- Time (\( \Delta t \)) = 3.275 s.

Substituting these values into the formula:

\[
a = \frac{26.8 \, \text{m/s} - 0 \, \text{m/s}}{3.275 \, \text{s}} = \frac{26.8 \, \text{m/s}}{3.275 \, \text{s}}
\]

Now, let's calculate it:

\[
a \approx 8.18 \, \text{m/s}^2
\]

The magnitude of the car's acceleration is approximately **8.18 m/s²**.

Would you like more details or have any questions? 

Here are 5 related questions you might find interesting:
1. How does this acceleration compare to that of modern sports cars?
2. What forces are involved in achieving such high acceleration in a vehicle?
3. How does tire friction affect the acceleration of a car?
4. How can the acceleration be improved in performance cars?
5. What are the limitations of achieving higher accelerations in road cars?

**Tip:** In real-world applications, achieving high acceleration depends on a combination of factors including engine power, weight, tire grip, and aerodynamics.

Learn how to calculate the magnitude of acceleration for a Ford RS200 Evolution in 1993, reaching 26.8 m/s (60 mph) in 3.275 seconds. Understand the application of kinematics and Newton's laws of motion in real-world scenarios. Suitable for advanced high school students and physics enthusiasts.

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