Question #4d33a

1 Answer
SagarStudy
Aug 22, 2017

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.

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