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.

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

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

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