Page 74 - eEISBN FINALIZE
P. 74

iii.    Total distance traveled :      =          +          +   
                                                          
                                                                              

                                     1
                                        = (   +   )  
                                     2
                                     1
                                        = (0 + 160)10
                                     2

                                        =          


                                     1
                                   =   (   +   )  
                                    
                                     2
                                     1
                                   =   (160 + 280)15
                                    
                                     2
                                        =            




                                     1
                                   =   (   +   )  
                                    
                                     2
                                     1
                                   =   (280 + 0)15
                                    
                                     2
                                        =            



                               Hence:

                                  =          +          +   
                                                      
                                  
                                  = 800 + 3300 + 2100
                                  
                                  =            
                                  


               Example 4

                                                         -1
                                                                                     -2
               A particle has an initial velocity of 12.5 ms  accelerates uniformly 2 ms  until it reaches a speed
                       -1
               of 20 ms  then stopped with a uniform decelaration. If the total time taken is 12 seconds. Calculate
               the total distance traveled.
               Solution.


               Let the distance during acceleration is s1 and s2 is a during decelaration. Then;

               total distance traveled,          =    +   
                                            
                                               1
                                                    2
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