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Fredrick threw a ball from the top of a building. The height of the ball, in feet, after it is thrown is modeled by the function
h() = -1612 + 641 + 100, where i represents time, in seconds.

Respuesta :

mhanifa

Answer:

  • 5.2 seconds

Step-by-step explanation:

Given

  • The function h(t) = -16t^2 +64t + 100

To find:

  • Time the ball to reach the ground (h = 0)?

Solution

  • h(t) = -16t^2 +64t + 100

Need to find the value of t, when h(t) = 0

  • -16t^2 +64t + 100 = 0
  • 4t^2 - 16t - 25 = 0
  • 4t^2 - 2*2t*4 + 16 = 41
  • (2t - 4)^2 = 41
  • 2t - 4 = √41
  • 2t - 4 = 6.4
  • 2t = 10.4
  • t = 5.2

Answer is 5.2 seconds

Answer:

5.2

Step-by-step explanation: