In a physics simulation, four particles are moving with unique velocities as follows:
v₁ = (10î - 20ĵ) m/s
v₂ = (30î + 40ĵ) m/s
v₃ = (-40î + 10ĵ) m/s
v₄ = (20î - 30ĵ) m/s
Determine i) Average velocity (v_avg), ii) Average speed (v_avg), and iii) Root-mean-square velocity (v_rms) of the particles in the simulation.

• A. i) 5î m/s, ii) 5 m/s, iii) 24.3 m/s
• B. i) 5î m/s, ii) 5 m/s, iii) 38.7 m/s
• C. i) 5î m/s, ii) 41.2 m/s, iii) 38.7 m/s
• D. i) 8î m/s, ii) 37.4 m/s, iii) 38.7 m/s

Answer: (B)