Question Detail

The car's velocity relative to ground is 40 m/s east. Wind is blowing southward at 30 m/s, so the velocity of car relative to air is vector sum? Actually, the question might be ambiguous. If the car is moving east and wind is south, the resultant velocity relative to ground is √(40² + 30²) = 50 m/s. Direction: tan θ = 30/40 = 0.75, θ = 36.9° south of east, or equivalently 53.1° east of south. But option A says 50 m/s at 36.9° east of south, which is the same as 53.1° south of east. So A is correct.