Gabe drops a hammer from an apartment that is 30 meters above the ground. The height of the hammer in meters, h, after t seconds is modeled by the function below.

h (t) = - t^2-2t+30

Find the approximate number of seconds it will take for the hammer to hit the ground. Round your answer to the nearest whole number.

A. 0

B. 5

C. 10

D. 30

Question

Mathematics

Magdalena Jensen

29 March, 23:06

Gabe drops a hammer from an apartment that is 30 meters above the ground. The height of the hammer in meters, h, after t seconds is modeled by the function below.

h (t) = - t^2-2t+30

Find the approximate number of seconds it will take for the hammer to hit the ground. Round your answer to the nearest whole number.

A. 0

B. 5

C. 10

D. 30

+4

Answers (1)

Know the Answer?

Eduardo Sheppard · Answer 1

Simplifying

h (t) = - 1t2 + - 2t + 30

Multiply h * t

ht = - 1t2 + - 2t + 30

Reorder the terms:

ht = 30 + - 2t + - 1t2

Solving

ht = 30 + - 2t + - 1t2

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Divide each side by 't'.

h = 30t-1 + - 2 + - 1t

Simplifying

h = 30t-1 + - 2 + - 1t

Reorder the terms:

h = - 2 + 30t-1 + - 1t