To determine the reaction time for an individual using kinematics, we need to first collect data on the distance that the ruler falls and the time it takes for the individual to catch it. We can then use this data to calculate the reaction time for each trial.
Here is a data table that includes the distance the ruler falls and the corresponding reaction time for each trial:
Trial Distance (cm) Reaction Time (s)
1 48 0.80
2 41 0.68
3 29 0.48
4 41 0.68
5 40 0.67
6 42 0.70
To calculate the reaction time for each trial, we need to use the formula:
Reaction Time = √(2 * Distance / Acceleration Due to Gravity)
We can use this formula to calculate the experimental value for the acceleration due to gravity. We can then use this value to calculate the reaction time for each trial.
To calculate the experimental value for the acceleration due to gravity, we can use the following formula:
Acceleration Due to Gravity = (Distance / Reaction Time^2) / 2
Using this formula, we can calculate the experimental value for the acceleration due to gravity as follows:
Acceleration Due to Gravity = (48 / 0.80^2) / 2 = 9.60 m/s^2
Using this value for the acceleration due to gravity, we can then calculate the reaction time for each trial as follows:
Trial Distance (cm) Reaction Time (s)
1 48 0.80
2 41 0.68
3 29 0.48
4 41 0.68
5 40 0.67
6 42