A ball is thrown upward with an initial velocity of 20 m/s. Using \(h = -5t^2 + 20t\), find the maximum height reached.
Related Articles
- Solve using the quadratic formula: \(x = \frac{-70 \pm \sqrt{4900 + 5600}}{8}\).
- Approximate: \(x \approx \frac{-70 + 103.92}{8} = 4.49\) meters.
- #### 4.49
- The height function is \(h(t) = -5t^2 + 20t\).
- The vertex (maximum) occurs at \(t = -\frac{b}{2a} = -\frac{20}{2 \times -5} = 2\) seconds.
- Substitute \(t = 2\) into the height equation: \(h(2) = -5(2)^2 + 20(2) = -20 + 40 = 20\) meters.
Trending Articles
Unlock the Secret Level: Epic Cookie Cake Cupcake Cheat Codes You Need
BF4 Night Maps: What Secret Darkness Lurks Out There?
Level Up Your Sweet Tooth: The Cookie Cake Cupcake Boss Fight You Must Try
Cookie Cake Cupcakes: The Ultimate Gamer Power-Up You’ve Never Seen
MTG Arena of the Planeswalkers: Is This Combo Deck Actually Unbeatable Right Now?
One Cupcake to Rule Them All: The Cookie Cake Cupcake Glitch Everyone’s Talking About
Unlock the Mystery: What’s Inside This $1,000 Surprise Egg?
Dark Souls 2 Calculator: Instantly See Exactly How Much You Need
Last to Open Wins: The Shocking Truth Behind Surprise Eggs
The Viral Game Where Strangers Trade Surprise Eggs for Cash