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                        WORD PROBLEM

 

IF I DROPPED MY CELL PHONE AT THE HEIGHT OF 20FT AND BROTHER PUSHED ME AT THE VELOCITY OF -5FT PER SECONDS WHO WOULD HIT THE GROUND FIRST?

 

DROP:     

                                                         H= -16t2 + S

                                                          0= -16t2 + 20

                                                       -20              -20

                                                       -20= -16t2

                                                       -16    -16

                                                   √1.25= √t2

                                                  ±1.11 = t

 

THROWN:

                                                        h= -16t2+vt +s

                                  h = 0

                                  v = -5 ft/sec

                                   t = t

                                   s = 20

                                                        0 = -16t2-5t + 20

                             

                                                        X= -b±√b2-4ac

                                                                  2a

             

 

                                           X=-(-5)±√(-5)2-4(-16)(20)

                                                           2(-16)

 

                                                    X=5±√25+1,280

                                                               -32

 

                                                         X=5±√1,305

                                                               -32

                                      

                                                        X=5±√36.12

                                                                -32

 

                                                           5+36.12

                                                               -32

                                                           t=-1.29

 

                                                           5-36.12

                                                              -32

                                                            t=0.97