From equation 1 to equation 3

Expand the following: \begin{align} F_G+F_b+N=ma =&\cssId{Step1}{-F_b=ma}\\[3px] &\cssId{Step2}{N-F_G=0}\\[3px] &\cssId{Step3}{a= -\frac{F_b}{m}}\\[3px] \end{align}

  1. In the first step we make the equation of the force breaking with mass and acceleration
  2. In the seconde step we make the equation of normal force and the gravity force
  3. In the third step we make the equation of accelation with Force breaking and mass

From equation 3 to equation 5

Expand the following: \begin{align} a= \frac{F_b}{m} =&\cssId{Step1}{v(t)=ad}\\[3px] &\cssId{Step2}{v(t)= -\frac{F_b}{m}d}\\[3px] &\cssId{Step3}{v(t)= -\frac{F_b}{m}t+K}\\[3px] &\cssId{Step4}{v(t)= -\frac{F_b}{m}t+v_0}\\[3px] \end{align}

  1. In the first step we calculate the speed equation with the acceleration and variable d
  2. In the second step we take the equation of the acceleration and we change it here
  3. In the third step we take the variable d and we change it for the variable K and the time
  4. In the fourth step we change the variable K for the initial speed