A student preformed a sphere drop experiment from 1.50m above ground and the sphere has a mass of 0.875kg. Free fall times for the students experiment are below.

Calculate the average acceleration due to gravity from the students data.

Free fall times (s)
0.553
0.700
0.557
0.552
0.555

To calculate the average acceleration due to gravity from the student's data, we need to use the equation for free fall:

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

Where:
h is the height (1.50m in this case)
g is the acceleration due to gravity (what we're trying to find)
t is the time it takes for the sphere to fall (given in the data)

To find the average acceleration due to gravity, we need to find the acceleration for each fall and then take the average of those values.

First, we can rearrange the equation to solve for g:

g = 2h / t^2

Now, we can substitute the values for height (h) and time (t) from the data to find the acceleration due to gravity for each fall:

For the first fall:
t1 = 0.553s
g1 = 2 * 1.50m / (0.553s)^2

For the second fall:
t2 = 0.700s
g2 = 2 * 1.50m / (0.700s)^2

For the third fall:
t3 = 0.557s
g3 = 2 * 1.50m / (0.557s)^2

For the fourth fall:
t4 = 0.552s
g4 = 2 * 1.50m / (0.552s)^2

For the fifth fall:
t5 = 0.555s
g5 = 2 * 1.50m / (0.555s)^2

Now, we can calculate the average acceleration due to gravity:

Average g = (g1 + g2 + g3 + g4 + g5) / 5

Simply plug in the values of g1, g2, g3, g4, and g5 into the equation and divide the sum by 5 to get the average acceleration due to gravity.