A 55.0 kg diver steps off a diving board and drops straight down into the water. The water provides an upward average net force 1320 N. If the diver comes to rest 5.8 m below the water's surface, what is the total distance between the diving board and the diver's stopping point underwater?

HELPPPP!

Also please explain how to get the answer don't just give it to me (teacher checks work)

To find the total distance between the diving board and the diver's stopping point underwater, we need to consider the forces acting on the diver.

First, let's consider the gravitational force acting on the diver. The weight (W) of the diver can be calculated using the formula:

W = m * g

Where:
m = mass of the diver (55.0 kg)
g = acceleration due to gravity (9.8 m/s²)

W = 55.0 kg * 9.8 m/s²
W = 539 N

Since the diver comes to rest underwater, the net force acting on the diver is zero. The net force (F net) can be calculated using the equation:

F net = F buoyant - W

Where:
F buoyant = buoyant force

Since the question states that the water provides an upward average net force of 1320 N, we can rearrange the equation to solve for the buoyant force:

F buoyant = F net + W
F buoyant = 1320 N + 539 N
F buoyant = 1859 N

Now, let's consider the buoyant force acting on the diver. The buoyant force (F buoyant) can be calculated using the formula:

F buoyant = ρ * V * g

Where:
ρ = density of water (1000 kg/m³)
V = volume of the diver displaced by the water

Since the diver is at rest underwater, we can equate the buoyant force to the weight of the diver:

F buoyant = W

ρ * V * g = m * g

Solving for the volume:

V = m / ρ
V = 55.0 kg / 1000 kg/m³
V = 0.055 m³

Since the volume of the diver is the same as the volume of water displaced, we can calculate the depth the diver submerged (d):

d = V / A

Where:
A = cross-sectional area of the diver

Since the cross-sectional area is not given, we will assume it to be uniform and cancel out in the calculations:

d = V / A

Finally, to find the total distance between the diving board and the diver's stopping point underwater, we can add the depth of the diver submerged (d) and the depth the diver traveled below the water's surface (5.8 m):

Total distance = d + 5.8 m