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Linear motion

                           Exercise 8.2                        which she applied the brakes and
                                                               stopped after 5 seconds.
             1.  A body is thrown upward with a velocity
                of 20 m/s. It returns to the ground at         (a)  Draw a graph of speed
                the same position after 8 s.                       against time.
                (a)  Sketch a graph of velocity against        (b)  From the graph in (a) above
                    time for the motion.                           calculate:
                (b)  From the graph, determine the                 (i)  the total distance
                    distance travelled and                             travelled.
                (c)  The total displacement.                       (ii)  the time taken for the
             2.  Observe Figure 8.21 which shows a                     whole journey.
                graph for a motorcycle travelling along            (iii) the maximum speed
                a straight road, then answer the questions             attained.
                that follow:                                       (iv)  the area under the graph.

                                                           4.  What is meant by uniform speed,
                100                                            uniform velocity and uniform
                                      D                        acceleration?


                 80                        E
                                                          Equations of linear motion
                                  C                       Equations of linear motion play a
                Distance (m)  60                          crucial  role in understanding and

                                                          predicting  the behaviour  of objects


                                                          equations  and  their  applications,  we
                 40                                       in motion. By comprehending  these
                                                          gain  insights into  the  fundamental
                                                          principles that govern the physical
                 20                                       world.  Three equations describe the
                                                          uniformly accelerated linear motion:
                          B
                                                          the fi rst equation, the second equation
                 A                                        and the third equation.
                  0 0   5   10   15  20   25  30  35
                               Time (s)
                                                          Derivation  of the equations of
                            Figure 8.21
                                                          the uniformly accelerated linear
               (a) When is the motorcycle:                motion
                   (i)  accelerating?  (ii) decelerating?  Derivations of the equations of linear
               (b) Calculate its distance from A to D.    motion can be done by employing
             3.  Amina drove her car from rest to a speed   techniques like graphical methods
                of 30 m/s in 10 seconds. She maintained   and algebraic methods. These are the
                this steady speed for 10 seconds, after   common methods used in deriving the
                                                          equations of linear motion.

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     Physics Form 1 Final.indd   179                                                        16/10/2024   20:58
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