Answer:
0.162 s
Step-by-step explanation:
To determine your reaction time, we can use the equation:
⇒ d = (1/2)at^2
- where d is the distance the ruler falls, a is the acceleration due to gravity (9.8 m/s^2), and t is the time it takes for you to react and catch the ruler.
First, we need to convert the distance the ruler falls from centimeters to meters:
⇒ d = 12.9 cm = 0.129 m
Next, we can rearrange the equation to solve for t:
⇒ t = sqrt(2d/a)
⇒ t = sqrt(2(0.129 m)/(9.8 m/s^2))
⇒ t = sqrt(0.0264 s^2)
⇒ t = 0.162 s
Therefore, your reaction time was approximately 0.162 seconds.