An ant undergoes three successive displacements:d₁ = 3.00 m, 20.0° south of east= = 2.00 m, north== 7.00 m, 35.0° west of southd3a) Carefully sketch and label the three displacements with their tails at the origin. Usecoordinate system in which the positive x-axis is east and the positive y-axis is north.Calculate the x-and y-components of each of the displacements.Use the results of part b) to calculate the distance between where the ant begins andwhere it ends.d) What fourth displacement (magnitude and direction) is necessary to return the ant toits initial position?b)c)

Disclaimer:- “Since you have posted a question with multiple sub-parts, we will solve the first…

Answered: An ant undergoes three successive…

Similar questions

Figure 1 shows vectors Á and B. Vector C (not shown) is defined as: Č = Ã + B Find the magnitude and direction of vector C. State the direction in degrees with respect to the positive x axis. || Figure 1
13) While hiking, you travel 5.0 miles south (vector Ā), then turn and travel 4.0 miles at an angle of 30 degrees north of east (B). a) Sketch a diagram of these two displacement vectors, roughly to scale. Assume the positive x-axis is in the east direction, and the positive y-axis is in the north direction. b) You now wish to return to where you started. Determine the magnitude and direction of the displacement vector Ď you must follow. Use the method of components. As always, show all the details of your work. (Show vector D in the diagram above.) (Use clear, standard notation; show all details of your work. See PSL 3.4-5.)
Component Method: With your calculator, determine the x and y components of F1 and F2. Remember that Fx = Fcos θ and Fy = F sin θ. Find the x and y components of the resultant from the sum of x and y components. Draw a right triangle with x and y components as sides, and the hypotenuse representing the resultant. Calculate the magnitude of the resultant from the square root of (Rx2 + Ry2). Calculate the direction of the resultant by using θ R = tan-1 (Ry/Rx).
Answer A only (5:15 PM) please. Thanks
Please text writing ans
An object moves in an x-y plane generating three displacements (50.0 m, 60.0° west of north; 20.0 m, 30.0° east of north; 10.0 m east). a) Draw vector A in its reference frame and determine its x component and its y component. Express vector A in Cartesian form. b) Draw vector B in its reference frame and determine its x component and its y component. Express vector B in Cartesian form. c) Draw vector C in its reference frame and determine its x component and its y component. Express vector C in Cartesian form. d) Determine the resulting vector Cartesian Reform. In addition, determine its magnitude and its angle. Note: As can be seen in the diagram, the resulting vector is in the first quadrant, so the signs of its components and its angle have to be those corresponding to a vector in the first guadrant. wwwM wmww o w y (norte) 10.0 m 20.0 m <30.0° 50.0 m 60.0° (oeste) x (este)
43. John is walking around campus. John walks 2.4 km north. John then makes a left turn and walks 1.45 km west. Finally, John makes a right turn and walks 1.2 km north and sits on a bench. What is the magnitude and displacement of John from the starting point? А. 3.9 km, 24° north of west В. 3.9 km, 66° north of west С. 5.3 km, 70° north of west D. no answer is correct Е. 5.3 km, 59° north of west
Given vector A = xz ax -xy ay +yz az Transform A into cylindrical coordinate and it's magnitude at point (1,30o,2) is equal to:
A plane initially flies -50 km 30 degrees East of South from start to get to its goal, but due to storm rerouting has ended up 80km at 60 degrees North of East from the base. a) Draw a vector diagram, label the first location rỉ and the second location r as well as the displacement Ar b) What is the magnitude and direction of the planes displacement during this motion? c) If the entire trip took 30 minutes, what is the magnitude and direction of the planes average velocity from initial location to final in km/hr? (Av = ) At
Complete the table below: Vector 1 Vector 2 Vector 3 Vector 4 Vector 5 Vector 6 x-component 15m 2cm 5N 3lbf 2cm 3mm y-component Magnitude 100N 25m 5lbf Direction 30° W of N 40° s of E NE Solve what is asked: 1. What is the resultant of Vectors 1, 3 and 5? 2. What is the Vector 4 – Vector 2 + Vector 6? 3. If Vector 7 is 3i + 4j, then what is Vector 3 + Vector 7? 4. If Vector 7 is 3i + 4j, then what is Vector 6 - Vector 7?
A flagpole sits at the center of a playground. Initially, a child is located 8.50 m due north of the flagpole. Two minutes later, the child is 6.00 m away from the flagpole in the direction 37.0° south of east. The displacement of the child lies between which two cardinal directions? O South and west O North and east O North and west O South and east
Case 1 (In this case, the shorter, red vector is F, and the longer, blue vector is F2.) F1 = 50 g 01 = 5° 90 F2 = 135 g 02 = 80° Record the magnitude and direction of the equilibrant and resultant. Table 1 Magnitude (g) Vector Direction (°) Equilibrant Resultant 180

SEE MORE QUESTIONS