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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?

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meerkat18
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. 

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

 [tex]S=ut+\frac{at^2}{2}[/tex]

Where, u is the initial speed of falling body and a is acceleration due to gravity which is [tex]9.8 \frac{m}{s^2}[/tex] .

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

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