Question

How does displacement change with time for a falling object? How might you describe the mathematical relationship between the velocity and time of a falling object?

Answer 1

Answer with explanation:

For a falling object , displacement decreases with increase in time.

The relation between these two variables that is S and t is given by

`S=ut+(at^2)/(2)`

Where, u is the initial speed of falling body and a is acceleration due to gravity which is
`9.8 (m)/(s^2)` .

Mathematical relationship between the velocity and time of a falling object

V=u +at, where

V=Final Velocity

u=Initial Velocity

t=Time

a=Acceleration due to gravity

Answer 2

The displacement change with time for a falling object increases with time. In this case, the equation that describes the displacement of the falling object is described in x = 0.5 gt^2 where x is the displacement, g is the acceleration of gravity equal to 9.8 m/s2 or 32 ft/s2 and t is time.