If a ball is dropped near the surface of the earth, then the distance it falls is directly proportional to the square of the time it has fallen. a ball is dropped over the edge of a vertical cliff and falls 39.2 meters in two seconds. determine the distance (in meters) the ball would have dropped in 3.5 seconds. the ball would have dropped meters. round your answer to two decimal places.

For this case we have:
 "the distance it falls is directly proportional to the square of the time it has failed"
 Thus,
 d = k * t ^ 2
 We search for k by means of the following statement:
 "A ball is dropped over the edge of a vertical cliff and falls 39.2 meters in two seconds"
 Thus,
 k = d / (t ^ 2)
 Substituting values:
 k = 39.2 / (2 ^ 2)
 k = 9.8
 Substituting we have that the equation is:
 d = 9.8 * t ^ 2
 The distance for t = 3.5 is:
 d = 9.8 * (3.5) ^ 2
 d = 120.05 m
 
 The ball would have dropped 120.05 meters