Kinetic energy of a body of mass; Vertical motion

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  If a body of mass m is moving with a velocity v, its Kinetic Energy (hereafter KE) is given by the familiar expression KE = (½) mv2 The body can be assumed to be executing simple harmonic motion.

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• Working with projectile motion

  So the key is "total energy is a constant." As the body is flying (or moving) the energy possessed by it is Kinetic in nature (K E = (1/2)*mass*velocity^2).