A force `F = Ay^(2)+By+C` acts on a body at rest in the `Y`-direction. The kinetic energy of the body during a displacement `y = -a` to `y = a` is

Options

A. `2 Aa^(3)/3`
B. `2Aa^(3)/3 + 2ca`
C. `2Aa^(3)/3 + Ba^(2)/2 + ca`
D. `2Aa^(3)/3 + Ba^(2)/2`

Answer

`(2)`

Explanation

`K.E = W = int _(yi)^(yf)F(y) dy`