A model rocket is launched with an initial upward velocity of 30 m/s. The rockets height (in meters) after t seconds is given by the following. h=30t-5t2. Find all values of t for which the rockets height is 10 meters

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  t = 3-√7 and 3+√7 seconds after launch

Step-by-step explanation:

You want to find the values of t that make h=10.

  10 = 30t -5t^2

  t^2 -6t = -2 . . . . . divide by -5

  t^2 -6t +9 = 7 . . . add 9 to complete the square

  (t -3)^2 = 7 . . . . . write as a square

  t -3 = ±√7 . . . . . . take the square root

  t = 3 ±√7 . . . . . . values of t for which height is 10 meters

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These values are about 0.354 seconds, and 5.646 seconds.

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step-by-step explanation:

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right