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28 October, 00:44

A model rocket is launched with an initial upward velocity of 60 m/s. The rocket's height h (in meters) after t seconds is given by the following.

h=60t-512

Find all values of t for which the rocket's height is 27 meters.

Round your answer (s) to the nearest hundredth.

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Answers (1)
  1. 28 October, 02:37
    0
    0.47 and 11.53

    Step-by-step explanation:

    h = 60t - 5t²

    27 = 60t - 5t²

    5t² - 60t + 27 = 0

    Quadratic formula:

    x = [ - b ± √ (b² - 4ac) ] / 2a

    t = [ - (-60) ± √ ((-60) ² - 4 (5) (27)) ] / 2 (5)

    t = (60 ± √3060) / 10

    t = 0.47 or 11.53
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