While traveling along a highway a driver slows from 24 m/s to 15 m/s in 12 seconds. What is the automobile's acceleration? How would I show the work and find this answer?

To find the automobile's acceleration, you can use the formula:

acceleration (a) = (final velocity (v) - initial velocity (u)) / time (t)

In this case, the initial velocity (u) is 24 m/s, the final velocity (v) is 15 m/s, and the time (t) is 12 seconds.

So, plugging in the values into the formula:

acceleration (a) = (15 m/s - 24 m/s) / 12 s

Now, we can calculate the acceleration:

acceleration (a) = (-9 m/s) / 12 s

Simplifying further:

acceleration (a) = -0.75 m/s²

Therefore, the automobile's acceleration is -0.75 m/s², which means it is decelerating or slowing down at a rate of 0.75 meters per second per second.

To demonstrate the work, follow these steps:
1. Write down the formula for acceleration: a = (v - u) / t
2. Plug in the values: a = (15 - 24) / 12
3. Subtract the initial velocity from the final velocity: a = -9 / 12
4. Simplify the equation: a = -0.75

By following these steps, you can solve for acceleration and show the work to find the answer.