The displacement of a body is given by `4s=M +2Nt^(4)`, where `M` and `N` are constants.
The velocity of the body at any instant is .

Options

A. (a) ` (m + 2 nt^4)/4`
B. (b) ` 2 n)`
C. (c ) (m+ 2 n)/4`
D. (d) ` 2 nt^#`

Answer

D

Explanation

Here ` 4 S =m + 2 nt^4` :. ` S = (m + 2 nt^$) /4`
` v = (dS) /(dt) = d/(dt) [ (m+ 2 nt^4)/4 ] = 1/4 d/(dt) (m + 2 nt^4)`
` = 1/4 [ d/(dt) (m) + d/(dt) ( 2 nt^4) ]`
or ` v = 1/4 [0 + 4 ( 2 n) t^3 ] = 1/4 xx ( 2 nt^3 ) = 2 t^3` .