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PLEASE HELP

A ball is projected upward from the ground. Its distance in feet from the ground in t seconds is given by s(t) = - 16t2 + 122t. At what times will the ball be 213 feet from
the ground?

At ___second(s), the ball will be 213 feet from the ground.

Need to find the seconds.

Type an integer or decimal rounded to the nearest tenth as needed. Use a comma to separate answers as needed)

Respuesta :

mhanifa

Answer:

  • t = 2.7 seconds
  • t = 4.9 seconds

Step-by-step explanation:

Given

Function

  • s(t) = - 16t2 + 122t

To find

  • Value of t when s(t) = 213

Solution

  • 213 = -16t^2 + 122t
  • 16t^2 - 122t + 213 = 0
  • t = (122 ± √(-122)² -4*16*213)/2*16
  • t = (61 ± √313)/16
  • t = 2.7 seconds, t = 4.9 seconds
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