Math-in-Basketball-Take-the-Challenge-Answer-Key-FINAL-8.16.12.pdf

Substitute 10 feet for h t 10 16 t 2 24 t 7 write in

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at 10 feet would occur at two points in time, one on the way up, the other at the hoop. Substitute 10 feet for h( t ) : 10 = -16 t 2 + 24 t + 7 Write in standard form: 0 = a t 2 + b t + c by subtracting 10 from each side: 0 = -16 t 2 + 24 t + (-3); w here a = -16, b = 24, and c = -3 Solve algebraically using the quadratic formula, t = °±²√± ³ °´µ¶ ·µ , or complete the square to find two values of t .
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Math in Basketball: Take the challenge Answer Key Strategy B: Another option is to graph the equation for the height of the ball, either using a graphing calculator or paper and pencil with a table of values. Then, you can use your graph to estimate the values of t at which the ball reaches 10 feet. 3. Solve your problem . Show all your steps. You may use the graph on the last page or show your work in the space below. Strategy A: Use the quadratic formula: t ¸ °·´²¹·´ ³ °´º°»¼½º°¾½ ·º°»¼½ = ¾ ²√¼ ´ ¿ 0.14 or 1.36 Complete the square: h( t ) = -16 t 2 + 24 t + 7 10 = -16 t 2 + 24 t + 7 3 = -16 t 2 + 24 t 3 = -16( t 2 + À Á t ) À °Âà = ( t 2 + À Á t ) À °Âà + (- À Ä ) 2 = t 2 + À Á t +(  Á * ºÅ À Á ½ ) 2 à Âà = ( t - À Ä ) 2 t = À Ä ² Â Ä √à ¿ 1.36 or 0.14 Strategy B: See last page of this answer key for sample graph. Your solution: (Round your answer to the nearest hundredth.) The time(s) the ball will reach 10 feet are: 0.14 and 1.36 seconds AT WHAT TIME DOES THE BALL REACH THE MAXIMUM HEIGHT? 4. Plan it out. What strategy will you use? Select one or more representations, such as your equation or a graph (found on the last page), to calculate the value(s) of t when the ball reaches its maximum height. Strategy A: Represented graphically, the equation for height as a function of time, or h( t ), is a parabola. Like all
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  • Fall '17
  • Statistics, Quadratic equation, Elton, Elton Brand

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