Question

An equation that models the height of an object dropped from the top of a building is y= -16x^2 + 30 where x is time in sec. Another equation, y= 14, models the path of a flying bird in the air. Write a system of equations, and then solve to find how many seconds the object is in the air before it crosses the birds path

Answer 1

1 second

Explanation:

The 2 equations are

y = - 16x² + 30 → (1)

y = 14 → (2)

Substitute y = 14 into (1)

14 = - 16x² + 30 ( subtract 30 from both sides )

- 16 = - 16x² ( divide both sides by - 16 )

1 = x² ( take the square root of both sides )

x =
`√(1)` = 1

The object is in the air for 1 sec before it crosses the bird's path