Correct answer: 75 m/s
The first ball falls freely under gravity, so its displacement after 18 s is s₁ = (1/2)gt² = 0.5 × 10 × (18)² = 1620 m. The second ball is thrown after 6 s, so it falls for 12 s with an initial velocity v. Its displacement is s₂ = vt + (1/2)gt² = v(12) + 0.5 × 10 × (12)² = 12v + 720. Since they meet, s₁ = s₂, so 1620 = 12v + 720. Solving, v = 75 m/s.