If VV be the velocity with which the football is kicked, then
K=1/2mV^2K=12mV2
At highest point, y-y− component of velocity becomes zero, however, x-x− component remains constant. Therefore, kinetic energy, at highest point, is determined by x-x− component of velocity VV. Let V_xVx 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.