# On the massive, airless planet Krypton, an object - 94984

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## shri21

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• From: Mathematics, Algebra
• Posted on: Thu 21 Jan, 2016
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Problems 1-3: Determine the vertex of the parabolas defined by the following functions: 1. F(x) = x2 – 4 2. G(x) = -2x2 + 8x – 15 3. H(x) = .5(x – 3)2 + 5 Problems 4-6: Complete the tables for the following functions, and provide a graph. 4. . 5. . 6. . Problem 7. For each equation, determine the number and type of solutions by calculating the value of the discriminant. 8. A ball is dropped from a height of 40 meters. The quadratic equation d = .5gt2 is used to calculate the distance d the object has fallen (ignoring the resistance of the atmosphere) after t seconds, where the constant “g” is the acceleration due to the earth’s gravity, approximately 9.8 m/s2. How long does it take the object to fall to the ground? 9. Using the information in #8, and again ignoring air resistance, what was the original height of the object if it takes 5 seconds for it to reach the ground? 10. On the massive, airless planet Krypton, an object falls 50 m in two seconds. What is the acceleration of gravity -- that is, the local value of g -- on Krypton? (NOTE: Krypton is an imaginary place. Don't bother Googling it.)
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