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10 (0,0) 120 t (s) v(t) (m/s) 20 vf x(t) (m) The motion of an object along a straight horizontal path is shown by the graphs below. Determine the velocity of the object at 10 seconds. 10 (0,0) 120 t (s) v(t) (m/s) 20 vf x(t) (m)

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10 (0,0) 120 t (s) v(t) (m/s) 20 vf x(t) (m) The motion of an object along a straight horizontal path is shown by the graphs below. Determine the velocity of the object at 10 seconds. 10 (0,0) 120 t (s) v(t) (m/s) 20 vf x(t) (m)

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x(t) (m) (0,0) 200 t (s) 40 10 v(t) (m/s) 25 vf The motion of an object along a straight horizontal path is shown by the graphs below. Determine the velocity of the object at 10 seconds. x(t) (m) (0,0) 200 t (s) 40 10 v(t) (m/s) 25 vf Displacement is equal to the area under the (v-t) graph. Area under the (v-t) graph = Area of triangle + Area of rectangle  Area = ½ (base)(height) + (base)(height) = ½ (10) (25 - vf ) + (10) (vf) Displacement, x = 200 m – 40 m = 160 m from (x-t) graph. 3) Equate the answer of (1) and (2) to get vf =7.0 m/s .

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30 x(t) (m) (0,0) 100 t (s) 10 v(t) (m/s) vf The motion of an object along a straight horizontal path is shown by the graphs below. Determine the velocity of the object at 10 seconds. 30 x(t) (m) (0,0) 100 t (s) 10 v(t) (m/s) vf Displacement is equal to the area under the (v-t) graph. Area under the (v-t) graph = Area of triangle  Area = ½ (base)(height) = ½ (10) (vf) Displacement, x= 30 m - 100 m = - 70 m from (x-t) graph. 3) Equate the answer of (1) and (2) to find vf = -14.0 m/s.

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20 (0,0) t (s) v(t) (m/s) x(t) (m) 10 -20 vf 30 -1.0 The motion of an object along a straight horizontal path is shown by the graphs below. Determine the velocity of the object at 30 seconds. 20 (0,0) t (s) v(t) (m/s) x(t) (m) 10 -20 vf 30 -1.0

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20 (0,0) t (s) v(t) (m/s) x(t) (m) 10 -20 vf 30 -1.0 The motion of an object along a straight horizontal path is shown by the graphs below. Determine the velocity of the object at 30 seconds. 20 (0,0) t (s) v(t) (m/s) x(t) (m) 10 -20 vf 30 -1.0

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v(t) (m/s) x(t) (m) 100 10 t (s) (0,0) 5 -100 (0,0) tf The motion of an object along a straight horizontal path is shown by the graphs below. Determine the time tf. x(t) (m) 5 -100 10 t (s) tf v(t) (m/s) 100 (0,0) (0,0)

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v(t) (m/s) x(t) (m) 100 10 t (s) (0,0) 5 -100 (0,0) tf The motion of an object along a straight horizontal path is shown by the graphs below. Determine the time tf. x(t) (m) 5 -100 10 t (s) tf v(t) (m/s) 100 (0,0) (0,0)

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5 t (s) (0,0) vf v(t) (m/s) 20 a (t) (m/s2) 10 100 The motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object. 5 t (s) (0,0) vf v(t) (m/s) 20 a (t) (m/s2) 10 100

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5 t (s) (0,0) vf v(t) (m/s) 20 a (t) (m/s2) 10 100 The motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object. 5 t (s) (0,0) vf v(t) (m/s) 20 a (t) (m/s2) 10 100

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= Find area under the (a-t) graph 5 t (s) (0,0) v(t) (m/s) 30 The motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object. Find area under the (a-t) graph 5 t (s) (0,0) v(t) (m/s) 30 a (t) (m/s2) 10 50 200 vf Area = Area of Pink Rectangle + Area of Brown Rectangle Area = 5(30)+5(10) Change in velocity, v = vf – 50 m/s Area = 200 m/s Change in velocity from (v-t) graph = Area under the (a-t) graph vf – 50 m/s = 200 m/s vf = 250 m/s

5 t (s) (0,0) v(t) (m/s) 30 a (t) (m/s2) 10 50 200 vf =250 The motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object. 5 t (s) (0,0) v(t) (m/s) 30 a (t) (m/s2) 10 50 200 vf =250 vf = 250 m/s

5 t (s) (0,0) v(t) (m/s) 30 a (t) (m/s2) vf =250 200 10 50 10 10 The motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object. 5 t (s) (0,0) v(t) (m/s) 30 a (t) (m/s2) Area under the (v-t) graph is displacement. Area = Area of pink triangle + Area of green triangle Area of brown rectangle Area of purple rectangle vf =250 200 10 50 10 10 Area = ½ (5)(50) + ½ (5)(150) + (5)(50) + (5)(200) = 1750 m Thus displacement = 1750 m

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= (a-t) graph 2 t (s) (0,0) vf v(t) (m/s) -10 a (t) (m/s2) 4 -30 100 The motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object. Find area under the (a-t) graph 2 t (s) (0,0) vf v(t) (m/s) -10 a (t) (m/s2) 4 -30 100 80 Area = Area of Pink Rectangle + Area of Brown Rectangle Change in velocity, v = vf – 100 m/s Area = 2(– 10) + 2(– 30) Area = – 80 m/s Change in velocity from (v-t) graph Area under (a-t) graph = vf – 100 m/s = – 80 m/s vf = 20 m/s

vf = 20 v(t) (m/s) a (t) (m/s2) 100 80 4 -10 -30 t (s) (0,0) 2 The motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object. 2 t (s) (0,0) v(t) (m/s) -10 a (t) (m/s2) 4 -30 100 80 vf = 20 vf = 20 m/s

vf = 20 -30 v(t) (m/s) (0,0) -10 t (s) a (t) (m/s2) 2 100 80 4 t (s) The motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object. v(t) (m/s) (0,0) -10 t (s) a (t) (m/s2) 2 Area under the (v-t) graph is displacement. 100 Area = Area of pink triangle + Area of green rectangle Area of purple triangle Area of brown rectangle 80 4 vf = 20 -30 t (s) (0,0) 2 4 Area = ½ (2)(20) + (2)(80) + ½ (2)(60) + (2)(20) = 280 m Thus displacement = 280 m

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t (s) (0,0) 20 v(t) (m/s) 5 a (t) (m/s2) 30 -2 vf 10 The motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object t (s) (0,0) 20 v(t) (m/s) 5 a (t) (m/s2) 30 -2 vf 10

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t (s) (0,0) 20 v(t) (m/s) 5 a (t) (m/s2) 30 -2 vf 10 The motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object t (s) (0,0) 20 v(t) (m/s) 5 a (t) (m/s2) 30 -2 vf 10

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v(t) (m/s) a (t) (m/s2) 100 80 tf t (s) -4 (0,0) 10 The motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object. 10 t (s) (0,0) v(t) (m/s) a (t) (m/s2) tf -4 100 80

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v(t) (m/s) a (t) (m/s2) 100 80 tf t (s) -4 (0,0) 10 The motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object. 10 t (s) (0,0) v(t) (m/s) a (t) (m/s2) tf -4 100 80

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