Acceleration due to gravity in m/s^2:

The acceleration due to gravity, denoted as g, is a physical constant that represents the acceleration experienced by an object when it falls freely in a gravitational field. On Earth, the average value of acceleration due to gravity is approximately 9.8 m/s^2. However, in this scenario, let's consider the acceleration due to gravity as 10 m/s^2.

Conversion from m/s^2 to cm/minute^2:

To find the value of acceleration due to gravity in cm/minute^2, we need to convert the units from meters to centimeters and from seconds to minutes. This can be done using appropriate conversion factors.

1 meter = 100 centimeters
1 minute = 60 seconds

Now, let's proceed with the conversion:

1. Conversion from m/s^2 to cm/s^2:
- Multiply the given value of acceleration due to gravity (10 m/s^2) by the conversion factor (100 cm/1 m) twice.
- This is done to convert both the meters to centimeters in the numerator and the denominator.
- The resulting value is 10 * 100 * 100 cm/s^2.

2. Conversion from cm/s^2 to cm/minute^2:
- Multiply the value obtained in the previous step (10 * 100 * 100 cm/s^2) by the conversion factor (60 s/1 min) twice.
- This is done to convert both the seconds to minutes in the numerator and the denominator.
- The resulting value is (10 * 100 * 100) * (60 * 60) cm/minute^2.

Calculating the value:

Now, let's compute the value of acceleration due to gravity in cm/minute^2:

(10 * 100 * 100) * (60 * 60) = 10,000,000 cm/minute^2

Therefore, the value of acceleration due to gravity at this place is 10,000,000 cm/minute^2.

Summary:

Acceleration due to gravity at a place is 10 m/s^2. Converting this value to cm/minute^2 involves multiplying by appropriate conversion factors. The final result is 10,000,000 cm/minute^2.

10m/s² = 3.6×10⁶cm/min²