The distances covered by a freely falling body in its first, second, third, ……, `b^(th)` seconds of its motion

Options

A. forms an arithematic progression
B. forms a geometric progression
C. do not form any well defined series
D. form a series corresponding to the difference of square root of the successive natural numbers.

Answer

A

Explanation

Distance travelled by a body in `n^(th)` second is
`D_n = u + a/2(2n - 1)`
Here, u = 0, a = g
`therefore` Distance travelled by the body in `1^(st)` second is
` D_1 = 0 + g/2(2 xx 1 - 1) = 1/2` g