Answer:
The terminal velocity of this person = 79.77 m/s
Explanation:
For a body falling through a fluid such as air, the forces acting on the diver include the force of gravity and the drag force.
And the net force is responsible for the acceleration of the diver.
Net force = mg - Drag force
But at terminal velocity, there's no acceleration and net force = 0
Hence, mg = Drag force
Drag force is given by CρAv²/2
where C = drag coefficient = 0.88
ρ = density of the fluid = density of air = 1.225 kg/m³
A = Cross sectional Area facing the fluid = 0.2 m²
v = velocity of the diver = ?
mg = 70 × 9.8 = 686 N
686 = (0.88×1.225×0.2×v²)/2
v² = (686×2)/(0.88×1.225×0.2)
v² = 6363.64
v = 79.77 m/s
