To calculate the acceleration, we use the formula:

$a = \frac{{\Delta v}}{{\Delta t}}$

Where:

• $a$ is the acceleration,
• $\Delta v$ is the change in velocity,
• $\Delta t$ is the change in time.

In this case:

• The initial velocity $v_i = 100 \, \text{km/h}$,
• The final velocity $v_f = 180 \, \text{km/h}$,
• The time taken is 1 second.

First, convert the velocities from km/h to m/s. We know that: $1 \, \text{km/h} = \frac{1000}{3600} \, \text{m/s} = 0.2778 \, \text{m/s}$

Thus: $v_i = 100 \, \text{km/h} = 100 \times 0.2778 \, \text{m/s} = 27.78 \, \text{m/s}$ $v_f = 180 \, \text{km/h} = 180 \times 0.2778 \, \text{m/s} = 50 \, \text{m/s}$

Now, calculate the acceleration: $a = \frac{{v_f - v_i}}{{\Delta t}} = \frac{{50 \, \text{m/s} - 27.78 \, \text{m/s}}}{1 \, \text{s}} = 22.22 \, \text{m/s}^2$

Thus, the acceleration is 22.22 m/s².

Would you like further details on how acceleration works, or any other questions?

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Here are 5 related questions:

1. What would be the stopping distance if Kate Ashley decelerated suddenly?
2. How much time would it take for her to reach 250 km/h at the same acceleration?
3. How does the acceleration compare with typical car acceleration rates?
4. How does acceleration affect fuel consumption in cars?
5. How could the speed limit laws affect this scenario in real life?

Tip: Always ensure to convert all units to the same system (e.g., m/s, s) before performing calculations to avoid errors.