Question

Which is the equation for terminal velocity?(1 point)
Responses

Vt=2wpACd−−−−√

upper V subscript t baseline equals Start Root Start Fraction 2 w over d upper A Upper C subscript d baseline End Fraction End Root

Vt=2mpACd−−−−√

upper V subscript t baseline equals Start Root Start Fraction 2 m over d upper A Upper C subscript d baseline End Fraction End Root

Vt=w2pACd−−−−−√

upper V subscript t baseline equals Start Root Start Fraction w over 2 d upper A Upper C subscript d baseline End Fraction End Root

Vt=pACd2w−−−−√

Answer 1

The correct choice is the first one:

Vt = sqrt(2w / (ρ A Cd))

Reason: at terminal velocity weight w = drag = (1/2)ρ Cd A Vt^2. Solving gives Vt^2 = 2w/(ρ Cd A), so Vt = sqrt(2w/(ρ Cd A)).