Investigating Fire Extinguisher Foams: Calculating the Depth of the Vat

02 Dec 2023

How deep is the vat where a heavy ball is accidentally dropped into a deep vat of foam? The depth of the vat is 22.8077659955 meters.

Calculating Depth of the Vat

To calculate the depth of the vat, we need to consider the given data:

To calculate the height from the crane to the bottom of the vat, we can use the formula:

H = ½gt²

Plugging in the values:

H = ½ × 9.8 × 3.2²

H = 4.9 × 10.24

H = 50.176 meters

To determine the depth of the vat, we subtract the height of the crane above the vat from the calculated height:

Depth of vat = H - h

Depth of vat = 50.176 - 6.10

Depth of vat = 44.076 meters

Therefore, the depth of the vat where the heavy ball was dropped is 44.076 meters.