7. Using components, determine the total displacement from the following individual displacements: Ad, = 2.5 m [W 30.0° S], Ad₂= 3.6 m [S], and Ad,= 4.9 m [E 38.0° S].
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- 1. Betty runs 6 m North, 6 m west and 3 m south. Find the magnitude and direction of the resultant displacement.In meters, what is the displacement traveled fromt = 10 sec to t = 25 sec? To correctly calculate the answer, you must determine the total area of this section. Enter your answer as an integer, not a fraction. 20 15 + 10 10 15 20 25 t(sec) -5 -10 -15 -20 v(m/sec) in1. = (OP), = The vector OP shown in the figure has a length of 12.0 cm. Two sets of perpendicular axes, x-y and x'-y', are shown. Express OP in terms of its x and y components in each set of axes. (a) Calculate the projections of OP along the x and y directions. Enter to 2 significant figures ✔cm Enter to 2 significant figures OP= cm ✔ cm Enter to 2 significant figures OP = 30° (b) Calculate the projections of OP along the x' and y' directions. Enter to 2 significant figures (OP)x= (OP) y¹ = ✔ cm 30⁰ ✔cm X' X (c) Use the projections of OP along the x and y directions to calculate the magnitude of OP using OP=√(OP)²+(OP)². ✔cm (d) Use the projections of OP along the x' and y' directions to calculate the magnitude of OP using OP=√(OP)²+(OP)². (e) What can you conclude about the magnitude of a vector with respect to rotated coordinate axes? The magnitude of the vectors using components in different coordinate axes that are rotated with respect to each other change.
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