To determine freefall acceleration on a moon with no atmosphere, you drop your handkerchief off the roof of a baseball stadium there. the roof is 113 meters tall. the handkerchief reaches the ground in 18.2 seconds. what is freefall acceleration on this moon? (state the result as a positive quantity.)

Take the starting position 113 m above ground to be the origin, and the downward direction to be positive. Then the vertical position of the handkerchief (ignoring air resistance due to the absence of an atmosphere) at time is

where is the acceleration due to gravity on this moon. We have

grav force prop 1/r squared 2r all squared is 4rsquared 1/4rsquared quartered