Page 175 - Physics
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Linear motion

                              Displacement    ( ) s         Total time is;
              Veloc    ity  ( )  v    =    Time  ( )   t
                               s                                                 4 s 3 s
                         v =
                               t                                               = 7 s
                                u    v
                              =   +                                      Total distance travelled
                                 2                       Average speed=     Total time taken
             Where, u is the initial velocity, and v               v  =   s
             is the fi nal velocity.                                        t


           The SI unit for the magnitude of average                   =   32 m
           velocity  is the same  as the  units for                          7 s
           average speed, that  is  metre  per  second                    v  = 4.57 m/s
           (m/s).                                       Therefore, its average speed was

           Note:  Velocity  at  a  particular  instant  is   4.57 m/s
           called  instantaneous velocity. A body is   Average velocity: To fi nd the
           said to move with uniform velocity if its   average velocity we need to consider
           rate of change of displacement with time
           is constant.                                the magnitude and direction of the
                                                       displacement.

                  Example 8.2                          Total Displacement:
                                                       Total displacement = displacement to
             An object travelled a distance of 20 m    the right + displacement to the left.
             to the right in 4 s and then 12 m to the
             left in 3 s. For its total motion, what         = 20 m + (-12) m
             was its average speed and its average            = 8 m
             velocity?                                  The displacement is 8 m to the right.
                                                        Total time,
             Solution
                                                                        t  = 4s + 3s
             When the object  is moving to the                                = 7 s

             right, its displacement is positive and     Average velocity,
             when moving to the left it is negative.                    s
             Time is always positive.                                 v =
                                                                        t
             Average speed:                                            8 m
                                                                     =
             The total distance travelled is;                                  7 s

                           s  = 20 m + 12 m                                   = 1.14 m/s

                          = 32 m                        Therefore, its average velocity was
                                                       1.14 m/s to the right.


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     Physics Form 1 Final.indd   169                                                        16/10/2024   20:58
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