The kinetic energy is calculated with the following formula: E_k = 1/2 mv². Does v represent the value of the velocity? I mean, if you have a specific direction of the velocity, is the formula: E_k = 1/2 mv_x² or E_k = 1/2 m(sqrt(v_x² + v_y²))²? No matter which of the equations is the correct one, the direction will influence which is the highest height a body can reach. Having said that, E = E_k + U_G (Mechanical energy). How would I calculate the highest height a body can reach? I know how to calculate it when I know that it is just vertical movement.