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