Physics - Law of Falling Bodies...

Question

if an object falls five meters during the first interval of time, how far will it fall during the second interval of time?

Answer 1

Let:

s1 and s2 be the two distances fallen,

t be the time in one 'interval',

g be the acceleration due to gravity.

s1 = gt^2 / 2 ...(1)

s1 + s2 = g(2t)^2 / 2 ...(2)

Subtracting (1) from (2):

s2 = g(4t^2 - t^2) / 2

= 3gt^2 / 2

= 3s1.

s1 = 5m.

Therefore s2 = 15m.