Final answer:
To find the distance fallen by a cinderblock, the kinematic equation d = 0.5 * g * t^2 is used with g=9.81 m/s^2 and t=2.81 s, resulting in a distance of approximately 38.73 meters.
Step-by-step explanation:
To calculate the distance that the cinderblock fell, we can use the kinematic equation for an object under uniform acceleration due to gravity. The equation used is d = 0.5 * g * t^2, where d is the distance, g is the acceleration due to gravity (9.81 m/s2), and t is the time the object is in free fall. We're given that the cinderblock falls for 2.81 seconds.
Distance fallen: d = 0.5 * 9.81 m/s2 * (2.81 s)2
Performing the calculation gives:
d = 0.5 * 9.81 * 2.812
d = 38.73 meters (rounded to two decimal places)
Therefore, the cinderblock falls approximately 38.73 meters.