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XThe 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) 120t (s)v(t) (m/s)20 (0,0)t (s) vf10x(t) (m)2XThe 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) 120t (s)v(t) (m/s)20 (0,0)t (s) vf10x(t) (m)4XThe 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) 200t (s) 40 10v(t) (m/s)25 (0,0)t (s) vf 10Displacement is equal to the area under the (v-t) graph.Area under the (v-t) graph = Area of triangle + Area of rectangle Area = (base)(height) + (base)(height) = (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 . XThe motion of an object along a straight horizontal path is shown by the graphs below. Determine the velocity of the object at 10 seconds. Displacement is equal to the area under the (v-t) graph. Area under the (v-t) graph = Area of triangle Area = (base)(height) = (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. 30x(t) (m) (0,0) 100t (s) 10v(t) (m/s) (0,0)t (s) vf 10 XThe 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)20t (s)v(t) (m/s) (0,0)t (s)20x(t) (m)10-2010 vf3030-1.0XThe 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)20t (s)v(t) (m/s) (0,0)t (s)20x(t) (m)10-2010 vf3030-1.0XThe motion of an object along a straight horizontal path is shown by the graphs below. Determine the time tf. x(t) (m)5-1005 10t (s)t (s)tftfv(t) (m/s) 100 (0,0) (0,0)XThe motion of an object along a straight horizontal path is shown by the graphs below. Determine the time tf. x(t) (m)5-1005 10t (s)t (s)tftfv(t) (m/s) 100 (0,0) (0,0)XThe motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object.5t (s) (0,0)vfv(t) (m/s) (0,0)20t (s)a (t) (m/s2)510105100XThe motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object.5t (s) (0,0)vfv(t) (m/s) (0,0)20t (s)a (t) (m/s2)510105100XThe motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object. 5t (s) (0,0)v(t) (m/s) (0,0)30t (s)a (t) (m/s2)510101050200vfFind area under the(a-t) graphArea = Area of Pink Rectangle + Area of Brown RectangleArea = 5(30)+5(10)Change in velocity, v = vf 50 m/sArea = 200 m/svf 50 m/s = 200 m/svf = 250 m/s Change in velocity from (v-t) graph=Area under the (a-t) graph

The motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object. 5t (s) (0,0)v(t) (m/s) (0,0)30t (s)a (t) (m/s2)510101050200vf =250 vf = 250 m/s

The motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object. 5t (s) (0,0)v(t) (m/s) (0,0)30t (s)a (t) (m/s2)510101050200vf =250 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

Area = (5)(50)+ (5)(200)+ (5)(150)+ (5)(50)Thus displacement = 1750 m= 1750 m

XThe motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object. 2t (s) (0,0)vfv(t) (m/s) (0,0) -10t (s)a (t) (m/s2)244 -3010080 Find area under the (a-t) graph Area = Area of Pink Rectangle + Area of Brown RectangleArea = 2( 10) + 2( 30)Change in velocity, v = vf 100 m/s Change in velocity from (v-t) graph=Area under (a-t) graphvf 100 m/s = 80 m/svf = 20 m/sArea = 80 m/s

The motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object. 2t (s) (0,0)v(t) (m/s) (0,0) -10t (s)a (t) (m/s2)244 -3010080vf = 20vf = 20 m/s

The motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object. 2t (s) (0,0)v(t) (m/s) (0,0) -10t (s)a (t) (m/s2)244 -3010080Area under the (v-t) graph is displacement. Area = Area of pink triangle + Area of green rectangle + Area of purple triangle + Area of brown rectangle

Area = (2)(20)+ (2)(60)+ (2)(80)+ (2)(20)Thus displacement = 280 m= 280 mvf = 20

XThe motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the objectt (s) (0,0)20v(t) (m/s) (0,0)5a (t) (m/s2)30-2vf10t (s)3010XThe motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the objectt (s) (0,0)20v(t) (m/s) (0,0)5a (t) (m/s2)30-2vf10t (s)3010XThe motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object. 10t (s) (0,0)v(t) (m/s) (0,0)10t (s)a (t) (m/s2)10tftf-4 10080XThe motion of an object along a straight horizontal path is shown by the graphs below. Determine the displacement of the object. 10t (s) (0,0)v(t) (m/s) (0,0)10t (s)a (t) (m/s2)10tftf-4 10080Thank You