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Relative Velocity

       Grade 10
Additional Mathematics
TRUE VELOCITY
                    A                                C
                   2 m s-1                   20 km h-1



A girl (G) jogs along a straight road at a   A cyclist (C) travels at a speed of
speed of 2 ms-1 due EAST                                    20 kmh-1 due WEST


        VG = 20 ms-1                           VC = 20 kmh-1

  The velocity of a moving object P relative to the earth is
      known as a TRUE VELOCITY and denoted by VP
Relative Motion of Two Moving Objects

APPARENT (RELATIVE) PATH
RELATIVE VELOCITY
              P                                 Q      OBSERVER

                3 ms-1                              2 ms-1


To the man Q, the girl P appears to move at a
speed of 1 ms-1 towards Q. Relative to Q
(observer), P is moving at a speed of 1 ms-1
due east as shown

      Relative Velocity Equation


      Velocity Diagram
RELATIVE VELOCITY
              P      OBSERVER                    Q

                3 ms-1                               2 ms-1


To the the girl P , the man Q, appears to move
at a speed of 1 ms-1 towards P. Relative to P
(observer), Q is moving at a speed of 1 ms-1
due west as shown

      Relative Velocity Equation


      Velocity Diagram
What is the velocity of A relative to B?




1. Write down the relative velocity equation


2. Draw the velocity diagram
What is the velocity of A relative to B?




1. Write down the relative velocity equation


2. Draw the velocity diagram


                                     1.5 units


               7.5 units

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Relative velocity introduction

  • 1. Relative Velocity Grade 10 Additional Mathematics
  • 2. TRUE VELOCITY A C 2 m s-1 20 km h-1 A girl (G) jogs along a straight road at a A cyclist (C) travels at a speed of speed of 2 ms-1 due EAST 20 kmh-1 due WEST VG = 20 ms-1 VC = 20 kmh-1 The velocity of a moving object P relative to the earth is known as a TRUE VELOCITY and denoted by VP
  • 3. Relative Motion of Two Moving Objects APPARENT (RELATIVE) PATH
  • 4. RELATIVE VELOCITY P Q OBSERVER 3 ms-1 2 ms-1 To the man Q, the girl P appears to move at a speed of 1 ms-1 towards Q. Relative to Q (observer), P is moving at a speed of 1 ms-1 due east as shown Relative Velocity Equation Velocity Diagram
  • 5. RELATIVE VELOCITY P OBSERVER Q 3 ms-1 2 ms-1 To the the girl P , the man Q, appears to move at a speed of 1 ms-1 towards P. Relative to P (observer), Q is moving at a speed of 1 ms-1 due west as shown Relative Velocity Equation Velocity Diagram
  • 6. What is the velocity of A relative to B? 1. Write down the relative velocity equation 2. Draw the velocity diagram
  • 7. What is the velocity of A relative to B? 1. Write down the relative velocity equation 2. Draw the velocity diagram 1.5 units 7.5 units