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📰 Solution: Multiply both sides by 2: $ mv^2 = \frac{3}{2}kT $. Divide by $ m $: $ v^2 = \frac{3kT}{2m} $. Take the square root: $ v = \sqrt{\frac{3kT}{2m}} $. \boxed{v = \sqrt{\dfrac{3kT}{2m}}} 📰 Question: An ornithologist tracks a bird’s migration path, which follows the quadratic equation $ y = -x^2 + 6x - 8 $. Determine the maximum height $ y $ reached during the flight. 📰 Solution: The maximum height occurs at the vertex. For $ y = -x^2 + 6x - 8 $, $ a = -1 $, $ b = 6 $, so $ x = -\frac{6}{2(-1)} = 3 $. Substitute $ x = 3 $: $ y = -(3)^2 + 6(3) - 8 = -9 + 18 - 8 = 1 $. The maximum height is $ 1 $ unit. \boxed{1} 📰 Dont Waste Timefind Out Where To Stream Smallville Instantly Now 2375375 📰 You Wont Believe What Happened When He Cut The Wrong Clip At The Barber Salon 1202487 📰 Rutgers University Ranking 9576895 📰 From River Stones To Electric Hearts Find Your Perfect Couples Tattoo Ideas Now 3122489 📰 Shopping Open Thanksgiving 9414800 📰 Define On 8373996 📰 Hipaa Tpo Explained The Shocking Secret Behind Patient Privacy Laws 7470887 📰 Whos The Ultimate Duelist Goku Vs Vegeta This Clash Changed Anime History 7030628 📰 Al Ghul 3630539 📰 Unh Stock Crashedheres Why Investors Are Scrambling For Hidden Profits 1734281 📰 This Simple Redo Undo Shortcut Is A Game Changerwatch How It Transforms Your Workflow 7229984 📰 Finally Access Papas Scooperiawhat This Unblocked Video Will Surprise You With 7743474 📰 Life Insurance Types 5872092 📰 Brian Koeburger 246257 📰 How To Make Ugc On Roblox 2870121