i) Jim starts his road trip from home and covers (d1=450 km) in a direction 54° south of east. Then he travels (d2=210 km) in a direction (10°) north of east, and finally he covers a displacement (d3). If his total displacement is (d=540 km) in a direction of 50° south of west, then calculate the third displacement (d3) and its direction.
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- A truck travels due east for a distance of 1.7 km, turns around and goes due west for 9.2 km and finally turns around again and travels 3.0 km due east. a) what is the total distance that the truck travels? b) what are the magnitude and direction of the trucks displacement ?Problem 1 Suppose velocity of object 1 is given by vector v1 with magnitude 2 and direction +60° , and object 2 has velocity vector v2 with magnitude 2 and direction +300°. Find the vector V, where V = v1 - V2, by the (a) graphical method, i.e., draw the 2 vectors v1 and v2 and solve for V graphically, and (b) algebraic method using Cartesian components. For part (b), give your answer to 3 significant figures. Do the results of (a) and (b) agree? Please upload file that has your initials in the file name. For example, if your initials are FDR, the name your file "Week2QuizProb1_FDR.pdf". Upload Choose a File1. A boy walk 140 m due north, 85 m due east, 35 m due southeast, 38 m due west and then 19 m due northwest. Calculate the displacement for his whole journey.
- Q2. A drone is used to spray pesticide in a farm. It covers (d1=30 m) towards south. Then it flies (d2=40 m) in a direction 350 east of south, then by changing its direction it covers a distance of (d3=50m) in the direction 650 east of north and finally it covers a displacement (d4=65m) in a direction of 300 south of west. Calculate total displacement (d) covered by the drone and its direction.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).While exploring a cave, a spelunker starts at the entrance and moves the following distances. She goes 75.0 m north, 250 m east, 125 m at an angle 30.0° north of east, and 150 m south. Find the resultant displacement from the cave entrance :-
- A postman leaves the post office and drives 1.6 km in the north direction. He then drives in a direction 60.0° south of east for 5.9 km (see Figure) North 60° + East Post office What is his resultant displacement from the post office (in vector form)? O a. -3.51 mi+ 2.95 mj O b. 5.90 mi+ 1.60 mj O c. 2.95 mi+-3.51 mj O d.-1.35 mi+5.11 mj O e. None of the aboveVectors A treasure map shows a path from the hanging tree to walk to find the buried treasure. It reads to start at the hanging tree and north 7.5 meters. The map then says to turn and walk 9.8 meters at 30 degrees north of east, then walk south 1.4 meters, and finally walk west 38.0 meters. Once at this position, the map says to turn east and walk 14.0 more meters, then turn north and walk 12.0 more meters, and finally to turn due west and walk 6.0 meters. There you will find the treasure!(a) Being a physicist, you want to get rid of all the steps and walk right to the treasure. What is the magnitude of the displacement you would walk if you walked directly to the treasure alongthe line of the resultant?physics
- 12. A boy delivering newspapers covers his route by traveling 100m West, 50m south and then 300m 30° north of east. Calculate the magnitude and direction of his resultant displacement. 1 The Sum of X components is 2. The Sum of Y components is 3. The Resultant magnitude is 4.3. The Resultant direction is1/3 SS For the given vectors V₁ and V₂ of Prob. 1/2, de- termine the magnitude of the vector difference V' =V₂ - V₁ and the angle, which V' makes with the positive x-axis. Complete both graphical and algebraic solutions.3. You fly 32.0 km in a straight line in still alr in the direction 35° south of west. (a) Find the distances you would have to point. (This determination is equivalent to finding the components of the displacement along the south and west directions.) (b) Find the distances you would have to fly first in a direction 45.0° south of west and then in a direction 45.0° west of north. These are the components of the displacement along a different set of axes-one rotated 45°. straight south and then straight west to arrive at the same 4. A farmer wants to fence off his four-sided plot of flat land. He measures the first three sides, shown as A, B, and C in Figure 16, and then correctly calculates the length and orientation of the fourth side D. What is his result? yA+ B + C +D= 0 C 3.02 km C. W D = ? km 19 16 7.5 B= 2.48 km A = 4.70 km Figure 9.