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6 October, 01:57

The expression LaTeX: - 5t^2+40t

-

5

t

2

+

40

t

predicts the height, in meters of an object t seconds after a person launches it into the air.

It will take _ seconds for the object to hit the ground.

+1
Answers (1)
  1. 6 October, 04:47
    0
    8 seconds

    Step-by-step explanation:

    Given

    h = - 5t² + 40t

    When the object hits the ground then h = 0

    Substitute h = 0 into the function and solve for t

    - 5t² + 40t = 0 ← factor out - 5t from each term

    - 5t (t - 8) = 0

    Equate each factor to zero and solve for t

    - 5t = 0 ⇒ t = 0

    t - 8 = 0 ⇒ t = 8

    t = 0 denotes the time of launch

    t = 8 denotes the time it hits the ground
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