\magnification=\magstep1

$$
{\rm velocity\ } {v} \quad = \quad 
            {{\rm change\ in\ position}\over{\rm change\ in\ time}}
  \quad = \quad
            {{\rm displacement}\over{\rm time\ interval}}
$$

$$
{\rm average\ velocity\ }  \quad = \quad 
            {{x_2 - x_1}\over{t_2 - t_1}}
$$


$$
{\rm instantaneous\ velocity\ }  \quad = \quad 
           \lim_{(t_2 - t_1) \to 0}  \ \left( {{x_2 - x_1}\over{t_2 - t_1}} \right)
      \quad = \quad
           {{dx}\over{dt}}
$$

$$
{\rm acceleration\ } {a} \quad = \quad 
            {{\rm change\ in\ velocity}\over{\rm change\ in\ time}}
$$

$$
v_f \quad = \quad 60 \left( {{\rm miles}\over{\rm hour}} \right) \times
                     \left( {{\rm 1609\ m}\over{\rm 1\ mile}} \right) 
                    \times \left( {{\rm 1\ hour}\over{\rm 3600\ s}} \right)
          \quad = \quad 
                     26.8 \thinspace {{m}\over{s}} 
$$


$$
{\rm average\ acceleration\ } a \quad = \quad
      {{26.8\ m/s \thinspace - \thinspace 0\ m/s}\over{4.8\ s}} 
        \quad = \quad  5.6 \thinspace {{m}\over{s^2}}
$$



$$
{\rm instantaneous\ acceleration\ }  \quad = \quad 
           \lim_{(t_2 - t_1) \to 0}  \ \left( {{v_2 - v_1}\over{t_2 - t_1}} \right)
      \quad = \quad
           {{dv}\over{dt}} 
      \quad = \quad
           {{d^2 x}\over{dt^2}} 
$$

$$
y(t) \quad = \quad 10\thinspace {\rm m} \ + \ \left( 3\thinspace {\rm{m}\over{s}} \right)
                                                             \thinspace t
              \ - \ \left( 4.9 \thinspace {\rm {m}\over{s^2}} \right) \thinspace t^2
$$


\bye
