Correct answer is (a) 338.62 m/s
For explanation I would say: The answer is 338.62 m/s. Given dynamic pressure=70516 N/m^2 and density is 1.23kg/m^3. From the formula q=\(\frac{1}{2}\)ρV^2, substitute the given values.
On solving we get 70516=\(\frac{1}{2}\)*1.23*V^2
V=338.62 m/s.