5. A subway train starts from rest and accelerates at 4 m/s/s for 10 seconds. Now the train travels at a constant speed for 30 seconds. Finally, the train slows uniformly to a halt in five seconds. A) find total distance traveled by the subway train. B) sketch position-, velocity-, and acceleration vs. time graphs for the situation.

 Given data
   
 

 speed up

 coast

 slow down

 
 
 V    

 0
 Vo  0    
 a  4 m/s/s

 0
 
 x      
 t  10 s

 30 s

 5 s

 
   


Notes:
1. The train has three accelerations; therefore data must be sorted into three piles.
2. there is enough data to solve for X1 only.The final velocity from part one is the initial velocity in part 2 and in part 3