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 A a^(3))/(3)`
B. `(2 A a^(3))/(3)+2c a`
C. `(2 A a^(3))/(3)+(Ba^(2))/(2)+c a`
D. `(2 A a^(3))/(3)+(B a^(2))/(2)`

Answer

B

Explanation

`K.E = W = underset(y_(i))overset(y_(f))int F(y)dy`