mubashar69
Answered

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Sagot :

Answer:

See below ↓

Step-by-step explanation:

We need to check the different time intervals to find the max. height

  1. t = 0 or 1 [both give same result]
  • f(1) = -16(1) + 16(1) + 12 = 12 feet

   2. t = 2

  • f(2) = -16(2)² + 16(2) + 12 = -20 feet

⇒ Clearly as she is diving, her maximum height will be her initial height which is 12 feet

⇒ To achieve this, it takes her 0 seconds [initial height = no time needed]

Taking f(x) = 0 [surface of water → just touching/hit the water]

  • 0 = -16x² + 16x + 12
  • 4x² - 4x - 3 = 0
  • 4x² - 6x + 2x - 3 = 0
  • 2x(2x - 3) + 1(2x - 3) = 0
  • (2x + 1)(2x - 3) = 0
  • x is positive
  • x = 3/2 = 1.5 seconds

⇒ After 1 second, she is 12 feet above the water

⇒ The diving board is 12 feet above the water

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