While traveling along a highway a driver slows from 24 mi/min to 15 mi/min in 12 seconds.  What is the automobile’s acceleration?1 point- 0.75 mi/min/s

To find the acceleration, we need to subtract the final speed from the initial speed and then divide by the time it took for this change to occur.

The initial speed is 24 mi/min and the final speed is 15 mi/min.

So, the change in speed is 24 mi/min - 15 mi/min = 9 mi/min.

The time it took for this change is 12 seconds. But since our speed is in mi/min, we need to convert this time to minutes. There are 60 seconds in a minute, so 12 seconds is 12/60 = 0.2 minutes.

Now we can find the acceleration by dividing the change in speed by the time: 9 mi/min / 0.2 min = 45 mi/min^2.

However, the acceleration is usually expressed in terms of speed per unit time squared, so we need to convert our time unit from minutes to seconds. There are 60 seconds in a minute, so we need to divide our acceleration by 60 twice: 45 mi/min^2 / 60 / 60 = 0.0125 mi/min/s^2.

So, the automobile's acceleration is 0.0125 mi/min/s^2.