<Table> <Tr> <Td> Distance d (\ displaystyle \ d \) travelled by an object falling for time t (\ displaystyle \ t \): </Td> <Td> d = 1 2 g t 2 (\ displaystyle \ d = (\ frac (1) (2)) gt ^ (2)) </Td> </Tr> <Tr> <Td> Time t (\ displaystyle \ t \) taken for an object to fall distance d (\ displaystyle \ d \): </Td> <Td> t = 2 d g (\ displaystyle \ t =\ (\ sqrt (\ frac (2d) (g)))) </Td> </Tr> <Tr> <Td> Instantaneous velocity v i (\ displaystyle \ v_ (i) \) of a falling object after elapsed time t (\ displaystyle \ t \): </Td> <Td> v i = g t (\ displaystyle \ v_ (i) = gt) </Td> </Tr> <Tr> <Td> Instantaneous velocity v i (\ displaystyle \ v_ (i) \) of a falling object that has travelled distance d (\ displaystyle \ d \): </Td> <Td> v i = 2 g d (\ displaystyle \ v_ (i) = (\ sqrt (2gd)) \) </Td> </Tr> <Tr> <Td> Average velocity v a (\ displaystyle \ v_ (a) \) of an object that has been falling for time t (\ displaystyle \ t \) (averaged over time): </Td> <Td> v a = 1 2 g t (\ displaystyle \ v_ (a) = (\ frac (1) (2)) gt) </Td> </Tr> <Tr> <Td> Average velocity v a (\ displaystyle \ v_ (a) \) of a falling object that has travelled distance d (\ displaystyle \ d \) (averaged over time): </Td> <Td> v a = 2 g d 2 (\ displaystyle \ v_ (a) = (\ frac (\ sqrt (2gd)) (2)) \) </Td> </Tr> <Tr> <Td> Instantaneous velocity v i (\ displaystyle \ v_ (i) \) of a falling object that has travelled distance d (\ displaystyle \ d \) on a planet with mass M (\ displaystyle \ M \), with the combined radius of the planet and altitude of the falling object being r (\ displaystyle \ r \), this equation is used for larger radii where g (\ displaystyle \ g \) is smaller than standard g (\ displaystyle \ g \) at the surface of Earth, but assumes a small distance of fall, so the change in g (\ displaystyle \ g \) is small and relatively constant: </Td> <Td> v i = 2 G M d r 2 (\ displaystyle \ v_ (i) = (\ sqrt (\ frac (2GMd) (r ^ (2)))) \) </Td> </Tr> <Tr> <Td> Instantaneous velocity v i (\ displaystyle \ v_ (i) \) of a falling object that has travelled distance d (\ displaystyle \ d \) on a planet with mass M (\ displaystyle \ M \) and radius r (\ displaystyle \ r \) (used for large fall distances where g (\ displaystyle \ g \) can change significantly): </Td> <Td> v i = 2 G M (1 r − 1 r + d) (\ displaystyle \ v_ (i) = (\ sqrt (2GM (\ Big () (\ frac (1) (r)) - (\ frac (1) (r + d)) (\ Big)))) \) </Td> </Tr> </Table> <Tr> <Td> Distance d (\ displaystyle \ d \) travelled by an object falling for time t (\ displaystyle \ t \): </Td> <Td> d = 1 2 g t 2 (\ displaystyle \ d = (\ frac (1) (2)) gt ^ (2)) </Td> </Tr> <Tr> <Td> Time t (\ displaystyle \ t \) taken for an object to fall distance d (\ displaystyle \ d \): </Td> <Td> t = 2 d g (\ displaystyle \ t =\ (\ sqrt (\ frac (2d) (g)))) </Td> </Tr> <Tr> <Td> Instantaneous velocity v i (\ displaystyle \ v_ (i) \) of a falling object after elapsed time t (\ displaystyle \ t \): </Td> <Td> v i = g t (\ displaystyle \ v_ (i) = gt) </Td> </Tr>

Distance covered by free falling body in 2 sec