Answer:
24.89m/s
Explanation:
We can calculate the drag force F to be:
F = 0.5 x CD x ρ x A x v²
When at sea level we have
h = 0
ρ1 = density of air = 1.225m³/kg
h = 3000 at altitude
ρ2 = 0.957m³/kg this is the density of air. We got this from the standard table of density variation
Because F1 = F2
0.5CD x ρ1 x A x V1² = 0.5CD x ρ2 x A x v2²
When we solve this out
p1v1² = p2v2²
V2² = p1v1²/p2
V2² = 1.225x 22²/0.957
V2² = 1.225x484/0.957
= 619.5
V2 = √619.5
= 24.89m/s
This is the speed
