Question

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

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