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.