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.

Question

Mathematics

Jonas Norton

9 July, 02:16

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.

+1

Answers (1)

Know the Answer?

Trent Alexander · Answer 1

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

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-512Find all values of t for which the rocket's height is 27 meters.Round your answer (s) to the nearest hundredth.

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.