Final answer:
Faith's reaction time is calculated using the distance fallen (0.08 meters) and the acceleration due to gravity (9.81 m/s^2). The time formula indicates that her reaction time is approximately 0.128 seconds, and the closest answer choice is (D) 0.12 seconds.
Step-by-step explanation:
To determine Super fast Faith's reaction time for catching a meterstick at 0.08 meters, we need to know the acceleration due to gravity and the initial velocity, which are constants at 9.81 m/s2 and 0 m/s respectively. The formula to calculate the time taken for an object to reach a particular distance under constant acceleration is:
t = sqrt(2d / a)
Where:
• t is the time,
• d is the distance,
• a is the acceleration due to gravity.
In this case, d = 0.08 meters and a = 9.81 m/s2. Plugging these values into the formula gives us Faith's reaction time.
t = sqrt((2 * 0.08 m) / 9.81 m/s2)
t ≈ 0.128 seconds
However, since 0.128 seconds is not offered in the answer choices, the closest provided option would be (D) 0.12 seconds.