Question

Question #4d33a

Answer 1

Option `(1)` is correct.

Explanation:

If `V` be the velocity with which the football is kicked, then

`K=1/2mV^2`

At highest point, `y-` component of velocity becomes zero, however, `x-` component remains constant. Therefore, kinetic energy, at highest point, is determined by `x-` component of velocity `V`. Let `V_x` and `K'` represent `x-` component of velocity and kinetic energy at highest point respectively.

`V_x=Vcos45=V/sqrt2`

Now, `K'=1/2mV_x^2=1/2m(V/sqrt2)^2=1/2mV^2/2=1/2(1/2mV^2)=1/2K=K/2`

Hence, option `(1)` is correct.