The distance traveled by an object under the influence of gravity is 4.9t².
The distance traveled by an object under the influence of gravity is determined using second equation of motion as follows;
x(t) = v₀t + ¹/₂gt²
x(t) = 0 + ¹/₂gt²
x(t) = 4.9t²
Graph of the distance between t= 0 and t = 5 s
The graph of the motion of the object is presented in the image uploaded.
Learn more about motion under gravity here: https://brainly.com/question/14446729