(Solved): 1. The air resistance (drag force) on a \( 200 \mathrm{~g} \) ball in free fight is given by \( \m ...

1. The air resistance (drag force) on a \( 200 \mathrm{~g} \) ball in free fight is given by \( \mathrm{F}_{D}=2 \mathrm{x} 10^{-4} \mathrm{~V}^{2} \) where \( F_{D} \) is in newtons and \( \mathrm{V} \) is in meters per second. If the ball \( \mathrm{s} \) dropped from rest \( 500 \mathrm{~m} \) above the ground, determine the speed at which it hits the ground. What percentage of the terminal speed is the result? (The terminal speed is the steady speed a falling body eventually attains.) \( (10) \)