what is the speed of a ball after it has fallen freely from rest through a distance of 12 meters

vf^2=2g*distance

how do i solve it

705.6

how did you get that

To find the speed of a ball after it has fallen freely from rest through a distance of 12 meters, we can use the principles of physics. Specifically, we can use the formula for the final velocity of an object undergoing free fall.

The formula for the final velocity (v) of an object in free fall can be determined using the equation:

v = sqrt(2gh)

Where:
v represents the final velocity
g is the acceleration due to gravity
h is the height or distance fallen

In this case, the object has fallen through a distance of 12 meters, so we can substitute this value into the equation:

v = sqrt(2 * 9.8 * 12)

Now we can calculate the final velocity using a calculator or by performing the calculations step by step:

v = sqrt(235.2)
v ≈ 15.33 m/s

Hence, the speed of the ball after falling freely from rest through a distance of 12 meters is approximately 15.33 meters per second.