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Cikgu Jasmin’s house is 500m away. Cikgu Jasmin’s house is 500m due east.
MOTION ALONG A STRAIGHT LINE
CHAPTER 9.1 THE CONCEPT OF DISPLACEMENT
[object Object],[object Object],[object Object],LEARNING OUTCOMES
[object Object],[object Object],9.1.1 Identifying the  direction of displacement
[object Object],Example 1
o -6 m +6 m
[object Object],[object Object],[object Object],[object Object],Exercises
[object Object],[object Object],Q O 12 m Solutions
[object Object],[object Object],Q O 5 m
[object Object],[object Object],O S
9.1.2 Displacement, s of a particle can be represent  as a function of time, t. For example: DETERMINE DISPLACEMENT  OF PARTICLE
[object Object],[object Object],[object Object],[object Object],Example 2
(a) (b) Solutions Time, t 1 2 3 4 Displacement, s 4 3 0 -5 s  (m) 0 1 2 3 4 -5 -3 -2 -4 -1     t =4 t =3 t =2 t =1
POP QUIZ
1 2 3 4 5 6 5 7 8 9
9m of the south  of O 9m of the east  of O 9m of the north  of O 9m of the west  of O 9m of the south  of O 9m of the east  of O Describe the position of the point OE= 9m with respect to O, taking the east as the positive direction. A B D C
4m of the south of O 4m of the west of O 4m of the north of O 4m of the east  of O Describe the position of the point OE= -4m with respect to O, taking the north as the positive direction. A B D C
5m of the east  of O 5m of the west  of O 5m of the south  of O 5m of the north  of O Describe the position of the point OE= -5m with respect to O, taking the east as the positive direction. A D B C
25m of the  east of O 25m of the  west of O 25m of the south of O 254m of the  north of O Describe the position of the point OE= 25m the east as the positive with respect to O, taking direction. A D B C
16m to the left 16m to the right 18m to the left 18m to the right A particle moves along a straight line, passing through a fixed point O. It’s displacement,  s  m, from O,  t  s after passing through O is given by  s  = 3 t 2  – 18. Find the displacement of the particle before it starts to move. A D B C
27m of the left 9m of the right 27m of the right 9m of the left A particle moves along a straight line, passing through a fixed point O. It’s displacement,  s  m, from O,  t  s after passing through O is given by  s  = 3 t 2  – 18. Describe the position of the particle after 3 seconds. B A D C
7m of the left 4m of the left 4m of the right 7m of the right A particle moves along a straight line, passing through a fixed point O. It’s displacement,  s  m, from O,  t  s after passing through O is given by  s  =  t 2  – 3 t - 4. Describe the position of the particle before it starts to move. A B D C
5m of the right 32m of the right 32m of the left 5m of the left A particle moves along a straight line, passing through a fixed point O. It’s displacement,  s  m, from O,  t  s after passing through O is given by  s  = 3 t 2  – 3t – 4 . Find the displacement of the particle at 4 seconds. A D B C A
EVALUATION
A particle moves along a straight line and passes through a fixed point  O . its displacement,  s  m, from point  O ,  t  s after passing through point  O  is given by s = 10 t  – 2 t 2 (Take the right direction from point O as positive direction.)
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
(b) the time at which the particle is 12 m on  the left side of point O s= -12 10 t – 2 t 2   = -12 Rearrange   - 2 t 2  + 10 t +12 = 0 Multiply -1   2 t 2  – 10 t – 12 = 0 t 2  – 5t – 6 = 0 Factorize   (t – 6)(t + 1) = 0 t = 6 or  t = -1 Therefore, the particle is 12 m on the left side of point O at t = 6. Not applicable
(c) When the particle returns to point O. When  s = 0 10t – 2t 2  = 0 Factorize  2t (5 - t) = 0  2t = 0  or  5 – t = 0 t = 0  or  t = 5 Therefore, the particle returns to point O at t = 5.
SUMMARY ,[object Object],[object Object],[object Object]
THANK YOU
BONUS
WELL DONE
WELL DONE
WELL DONE
WELL DONE
WELL DONE
WELL DONE
WELL DONE
WELL DONE
TRY AGAIN
TRY AGAIN
TRY AGAIN
TRY AGAIN
TRY AGAIN
TRY AGAIN
TRY AGAIN
TRY AGAIN

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Add Math (F5) Motion Along A Straigh Line Subtopic 9.1

  • 1. Cikgu Jasmin’s house is 500m away. Cikgu Jasmin’s house is 500m due east.
  • 2. MOTION ALONG A STRAIGHT LINE
  • 3. CHAPTER 9.1 THE CONCEPT OF DISPLACEMENT
  • 4.
  • 5.
  • 6.
  • 7. o -6 m +6 m
  • 8.
  • 9.
  • 10.
  • 11.
  • 12. 9.1.2 Displacement, s of a particle can be represent as a function of time, t. For example: DETERMINE DISPLACEMENT OF PARTICLE
  • 13.
  • 14. (a) (b) Solutions Time, t 1 2 3 4 Displacement, s 4 3 0 -5 s (m) 0 1 2 3 4 -5 -3 -2 -4 -1     t =4 t =3 t =2 t =1
  • 16. 1 2 3 4 5 6 5 7 8 9
  • 17. 9m of the south of O 9m of the east of O 9m of the north of O 9m of the west of O 9m of the south of O 9m of the east of O Describe the position of the point OE= 9m with respect to O, taking the east as the positive direction. A B D C
  • 18. 4m of the south of O 4m of the west of O 4m of the north of O 4m of the east of O Describe the position of the point OE= -4m with respect to O, taking the north as the positive direction. A B D C
  • 19. 5m of the east of O 5m of the west of O 5m of the south of O 5m of the north of O Describe the position of the point OE= -5m with respect to O, taking the east as the positive direction. A D B C
  • 20. 25m of the east of O 25m of the west of O 25m of the south of O 254m of the north of O Describe the position of the point OE= 25m the east as the positive with respect to O, taking direction. A D B C
  • 21. 16m to the left 16m to the right 18m to the left 18m to the right A particle moves along a straight line, passing through a fixed point O. It’s displacement, s m, from O, t s after passing through O is given by s = 3 t 2 – 18. Find the displacement of the particle before it starts to move. A D B C
  • 22. 27m of the left 9m of the right 27m of the right 9m of the left A particle moves along a straight line, passing through a fixed point O. It’s displacement, s m, from O, t s after passing through O is given by s = 3 t 2 – 18. Describe the position of the particle after 3 seconds. B A D C
  • 23. 7m of the left 4m of the left 4m of the right 7m of the right A particle moves along a straight line, passing through a fixed point O. It’s displacement, s m, from O, t s after passing through O is given by s = t 2 – 3 t - 4. Describe the position of the particle before it starts to move. A B D C
  • 24. 5m of the right 32m of the right 32m of the left 5m of the left A particle moves along a straight line, passing through a fixed point O. It’s displacement, s m, from O, t s after passing through O is given by s = 3 t 2 – 3t – 4 . Find the displacement of the particle at 4 seconds. A D B C A
  • 26. A particle moves along a straight line and passes through a fixed point O . its displacement, s m, from point O , t s after passing through point O is given by s = 10 t – 2 t 2 (Take the right direction from point O as positive direction.)
  • 27.
  • 28. (b) the time at which the particle is 12 m on the left side of point O s= -12 10 t – 2 t 2 = -12 Rearrange - 2 t 2 + 10 t +12 = 0 Multiply -1 2 t 2 – 10 t – 12 = 0 t 2 – 5t – 6 = 0 Factorize (t – 6)(t + 1) = 0 t = 6 or t = -1 Therefore, the particle is 12 m on the left side of point O at t = 6. Not applicable
  • 29. (c) When the particle returns to point O. When s = 0 10t – 2t 2 = 0 Factorize 2t (5 - t) = 0 2t = 0 or 5 – t = 0 t = 0 or t = 5 Therefore, the particle returns to point O at t = 5.
  • 30.
  • 32. BONUS