Question

An astronaut standing on the Moon drops a hammer from a height of 2 meters. The height in meters (A) of the falling hammer above the Moon's surface is given by the following equation, where t

represents the time, in seconds.
h=-1.6² +2
Approximately how long will it take the hammer to reach the ground?
O 0.4 seconds
O 0.8 seconds
O 1.1 seconds
O 1.6 seconds

Answer 1

The hammer will take approximately 1.12 seconds to reach the ground on the Moon.

Step-by-step explanation:

The equation given to determine the height (h) of the falling hammer above the Moon's surface is h = -1.6t² + 2, where t represents the time in seconds.

To find how long it will take the hammer to reach the ground, we need to find the value of t when h equals 0. So, we can set the equation to zero and solve for t:

0 = -1.6t² + 2

1.6t² = 2

t² = 2/1.6

t² = 1.25

t = √(1.25)

t ≈ 1.12 seconds

Therefore, the hammer will take approximately 1.12 seconds to reach the ground.