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Review Homework

Review Homework. Quadratic Formula . PART 2 For an equation in STANDARD FORM a≠0, ax 2 + b x + c. Find a quadratic equation . . Before we look at the answer, lets learn about the product and sum of roots. Sum and Products of Roots. Find a quadratic equation .  . Practice.

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Review Homework

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  1. Review Homework

  2. Quadratic Formula PART 2 • For an equation in STANDARD FORM a≠0, ax2 + b x + c

  3. Find a quadratic equation  Before we look at the answer, lets learn about the product and sum of roots

  4. Sum and Products of Roots

  5. Find a quadratic equation 

  6. Practice

  7. Solving Quadratic Equations using real world examples

  8. Physics Formulas Dropping an object h = final height (in feet) t = time (in seconds) h0 = s = initial height (in feet) Sometimes h0 is called s h = final height (in meters) t = time (in seconds) h0 =s = initial height (in meters)

  9. Throwing an object v is the initial velocity. Downward is negative while upwards is positive.

  10. Initial Velocity • Downward is negative while upwards is positive? Why is this? • Let’s look at the whole formula..

  11. What does each part represent??? • We used the -16t2 for the falling object formula….. • -16t2 represents the distance the object falls over time, t, due to gravity • vt represents?? • The distance the object travels because it is thrown or moved by some other force. • So, what determines if v, the velocity is positive or negative? • We are looking at an object falling, so negative values will be towards the ground getting us from some height to 0. • Who wants to explain the formula?

  12. Quadratic Formula

  13. Baton Twirling • When a baton twirler releases the baton into the air, the twirler’s hand is 5 feet above the ground. The twirler will catch the baton when it falls back to a height of 6 feet. The initial velocity is 30 feet per second. How many seconds is the baton in the air?? • Initial velocity v = 30 ft/sec • Initial height s = 5 feet • final height h = 6 feet

  14. 6 = -16t2 + 30t + 5 • 16t2 - 30t + 1 = 0 • using the quadratic formula What do those times mean?

  15. A rocket is fired upward with an initial speed of 1960 m/s. after how long does it take to hit the ground?

  16. h=height of ground = 0 meters v=initial velocity = 1960 m/s s=initial height = 0 meters Explain the two solutions!

  17. Homework • Page 269-272 (297-300) • #2-8 even • 10-18 even • 42, 46, 48, 61, 62

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