A meter stick is held vertically above your hand, with the lower end between your thumb and first finger. On seeing the meter stick released, you grab it with these two fingers. You can calculate your reaction time from the distance the meter stick falls, read directly from the point where your fingers grabbed it.

If the measured distance is 18.2 cm , what is the reaction time?

t= s

To calculate the reaction time, you can use the following formula:

t = √(2d/g)

Where
t = reaction time
d = distance fallen
g = acceleration due to gravity (approximately 9.8 m/s^2)

Given that the measured distance is 18.2 cm, we need to convert it to meters by dividing it by 100:

d = 18.2 cm / 100 = 0.182 m

Now, we can substitute these values into the formula:

t = √(2 * 0.182 / 9.8)

Calculating this expression:

t ≈ √(0.0367)

t ≈ 0.1915 seconds

Therefore, the reaction time is approximately 0.1915 seconds.

To calculate the reaction time, we need to know the distance the meter stick fell and apply the equation of motion for free fall. In this case, the distance is given as 18.2 cm.

We can use the formula:

s = (1/2) * g * t^2

where:
- s is the distance fallen (18.2 cm = 0.182 m),
- g is the acceleration due to gravity (approximately 9.8 m/s^2),
- t is the time taken to react.

Rearranging the formula to solve for t:

t = √(2s/g)

Substituting the given values into the equation:

t = √(2 * 0.182 m / 9.8 m/s^2)

t ≈ √(0.0368) ≈ 0.19 s

Therefore, the reaction time is approximately 0.19 seconds.

Assuming you mean 18.1 cm.

x = at^2/2 ==> t = sqrt(2x/a)
a = g = 9.81 m/s^2
2x = 0.362
t = 0.1921 s.
it is right but you enter 18.2
ok