A car travels 30 min 5 seconds. After accelerating for 3 seconds,
it travels 20 min 2 seconds. Calculate the car's acceleration,
1) Find Vi
2) Find Vf.
3) Calculate a.

The integral of acceleration = velocity

Step 1.  write a linear equation for the graph ...  a =  some function of t  --

  (hint -- from alg 1 , use y = mx + b)  

Step 2.  --- integrate to get a velocity equation.  use the initial condition to find C  ...  (At t = 0, the velocity of the car is 0)

 ---  the integral of velocity  =  displacement (or position)

step 3.  integrate the velocity equation from step 2 to get a position vs time equation

--- use the initial condition to find C  (At t = 0, its position is 10)

step 4.  answer the question

Explanation: