Kate Ashley was driving her car filled with drugs at the trunk at 100km/h when she saw a police car. She accelerated to 180km/h in just 1 second to avoid the police. What is the acceleration? 


To calculate the acceleration, we use the formula for acceleration:

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

Where:
- \(a\) is the acceleration,
- \(\Delta v\) is the change in velocity,
- \(\Delta t\) is the time it takes for that change.

### Step 1: Convert speeds to meters per second (m/s):
Since the speeds are given in kilometers per hour (km/h), we need to convert them to meters per second (m/s).

- Initial speed: 100 km/h
\[
100 \, \text{km/h} = \frac{100 \times 1000}{3600} \, \text{m/s} = 27.78 \, \text{m/s}
\]
  
- Final speed: 180 km/h
\[
180 \, \text{km/h} = \frac{180 \times 1000}{3600} \, \text{m/s} = 50 \, \text{m/s}
\]

### Step 2: Find the change in velocity:
\[
\Delta v = 50 \, \text{m/s} - 27.78 \, \text{m/s} = 22.22 \, \text{m/s}
\]

### Step 3: Time taken is 1 second, so:
\[
a = \frac{22.22 \, \text{m/s}}{1 \, \text{s}} = 22.22 \, \text{m/s}^2
\]

Thus, the acceleration is **22.22 m/s²**.

Do you want more details or have any questions?

Here are 5 relative questions:
1. What would the acceleration be if the car took 2 seconds to reach 180 km/h?
2. How far would the car travel during that 1 second of acceleration?
3. How would braking from 180 km/h to a stop affect acceleration?
4. What is the deceleration if the car slows down from 180 km/h to 100 km/h in 5 seconds?
5. Can a typical car achieve an acceleration of 22.22 m/s²?

**Tip:** Acceleration is often measured in units of **g**, where \(1g \approx 9.8 \, \text{m/s}^2\).

Kate Ashley was driving her car filled with drugs at the trunk at 100km/h when she saw a police car. She accelerated to 180km/h in just 1 second to avoid the police. What is the acceleration?

Learn how to calculate the acceleration of a car that increases its speed from 100 km/h to 180 km/h in just 1 second. This problem uses key concepts from physics and kinematics, including the acceleration formula and unit conversion, suitable for students in Grades 9-12.

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