Rectangular Components of Velocity and Acceleration

Suppose there is a graph based on the x, y, z coordinates. From that graph, there is an equation, which is,

Referring from the same graph again, we get another equation,

On differentiating the above equation (2.2),

  (Equation 2.3)

From the equation (2.3) you will get the scalar component of velocity which is,

v_x = x , v_y = y and v_z = z(Equation 2.4)

From the above equation, scalar components of accelerations,

a_x= , a_y = , a_z=

, ,

, ,