Variable acceleration

• You will know a variable acceleration question because it will be described in terms of $t$
• Sometimes these questions will replace $t$ with $x$
• Differentiate ( $\frac{d}{dt}$ ) in order to go from:

  $s\ or\ x\ to\ v$

  $v\ to\ a$
• Integrate ( $\int_{ }^{ }dt$ ) in order to go from:

  $v\ to\ s\ or\ x$

  $a\ to\ v$
• Label the image with the correct values:

  A) s/x

  B) v

  C) a

  
• How do you calculate the distance travelled for this speed/time graph?

  
  

  Integrate between 0 and 4, and add it to the absolute value of the integral between 4 and 6

  
• How do you calculate the distance travelled from a speed/time graph with variable acceleration?

  
  

  Integrate to find the area
• Label the symbols for each value in vector motion for variable acceleration

  A) r

  B) v

  C) a