ALGEBRA - Proportional

The velocity ( v meters per second ) of a body is known to be proportional to the sqaure root of it's kinetic energy ( e ejoules). When the velocity of a body is 120m/s it's kinetic energy is 1600J.

Write down the relationship between v , e using k as the constant of varation.

Calculate the value of k

v = 21 , calculate the kenetic energy of the body in joules.

Can someone explain me please the right method in solving each quesion with the steps.

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  1. v= k sqrtKe
    120=k sqrt 1600 solve for k, the proportionality constant.

    v= k sqrt KE
    ke= (v/k)^2

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