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- A fly enters through an open window and zooms around the room. In a Cartesian coordinate system with three axes along three edges of the room, the fly changes its position from point b(4.0m,1.5m,2.5m) to point e(1.0m,4.5in,0.5m) . Find the scalar components of the fly’s displacement vector and express its displacement vector in vector component form. What is its magnitude?Suppose you walk 23.5 m straight west and then 19m straight north for a total magnitude of 30m. A. What is your displacement vector (in m)? Express your answer in vector form. Assume the +x-axis is to the east, and the +y-axis is to the north. B. What is the direction of your displacement ( in degrees counter clockwise from the x-axis)?Activity 1.13-Vector Problems II 1. At a golf course, a par 3 hole is 80 meters 15 degrees east of south from the tee. Your first shot is 70 meters but 10 degrees west of south. a. How far are you from the hole after the first shot. b. What direction should you hit your shot to get the ball in the hole. Give angle relative to a compass direction, i.e., 5 degrees north of east. Start by drawing the vectors in involved (with arrows). Use your diagram to determine the relation between the three vectors. 2. Swims across Lake Erie are officially sanctioned by the Lake Erie Open Water Swimming Association Your friend on the swim team wants to swim across the lake. The plan is that your friend will swim to Presque Isle starting at a location at Long Point, Ontario which is 24 miles due north of Presque Isle. You will be navigating a boat with a GPS. Your friend can maintain a speed of 1.80 mph in still water. All during the swim you observe that objects drifting in the water are moving at…
- the magnitude of the resultant vector by adding two vectors is smallest when the angle between them is ____ a. 0 degrees b. 45 degree c. 90 degree d. 180 degree vector A is -5m,30* north of east. what is the negative of vector A? a. -5m,30* north of east b. 5m,30* south of west c. 5m,30* south of east d. -5m,30* south of west These are quantities which are independent of one another. a. derived quantities b. physical quantities c. accuracy d. precisionAn airplane flies 200 km in the direction N32°W. It then turns and flies 300 km on a bearing of 236º. a. Draw the displacement vector for each part of the trip separately. b. Find the resulting displacement of the plane. Show the vector diagram you use to add them. c. For each of the three displacement vectors state the components in the directions North and East.A drone flies the following displacement vectors in the sequence indicated. It starts flying West for 50-m, then it flies for 70-m in a direction of 30° North of East, then it flies South for 100-m, and finally, it flies for 80-m in a direction of 60° East of South. a. Draw a rough sketch that shows the displacement vectors. b. Use the component method to find the Resultant Displacement and Direction (with respect to the –x or +xaxis) of the drone relative to the starting point.
- Your instructor purchases a drone. He gets out of the roof of a building and flies the drone 140 meters straight west in 30 seconds, and then flies it 260 meters straight south for 120 seconds. He lets it hover stationary for 20 seconds, then flies it another 70 meters straight north in a span of 15 seconds, and finally 50 meters straight west in 12 seconds. 9. Calculate the net displacement from start and report this as a single magnitude and clearly identified direction. 10. What is the magnitude of the helicopter drone's average velocity over this entire excursion?A car moves 4.0 km in a straight line in a direction 40º East of North. It then moves 7.0 km 20o South of East. Sketch the trip as accurately as you can. Show the coordinate axes. Label all vectors. Show the resultant displacement. Use the analytical method to solve for the magnitude and direction of the resultant. Show all equations and steps in the calculations. Do the calculations match the graph you have drawn in part (A)?Lab 4: Vectors nitude of 8.4 km and points 2. Components of vectors. The vector in this problem is a velocity vector which starts at the origin, has a magnitude of 11 m/s and has a direction of 135 degrees (measured counter clockwise from the +x axis). a. Using the gridlines below (0.5 cm spacing), draw the vector. This time, choose your own scale factor. Record your scale factor below. Make sure your scale factor is large enough so that your vector takes up most of the space in the diagram. Use a protractor and ruler to make sure your vector has the correct magnitude and direction. b. Draw a dotted line from the tip of the vector to the x axis. Using a ruler, measure the the x component in cm, and use the scale factor to convert to m/s. boltol c. Draw a dotted line from the tip of the vector to the y axis. Using a ruler, measure the the y component, and use the scale factor to convert to m/s. 5
- L 1.3.4 Quiz: Vector Operations Question 4 of 10 Look at the vector plotted below. What is the correct way to describe this vector? O A. r= 4x y B. r-4x + y O C.r 4x+ 2y O D. r 3x 2y PREVIOUS ere to search24. Suppose you get in your helicopter and you fly 10 mi in the direction of 205◦, and then you fly 30 mi in the direction of120◦.24a. Find your displacement.Note: your displacement is the vector that goes from your starting point to your ending point. It tells you how your positionchanged.24b. How far did you go?24c. What direction would you need to fly if you wanted to go back to where you started?25. A plane is flying through the air. If there were no wind, then the plane would be flying at a speed of 180 mph in thedirection of 40◦. But the wind is blowing at a speed of 25 mph in the direction of 80◦.25a. How fast is the plane going?25b. In what direction is the plane flying?You first walk 10 m at an angle of 30° east of north. Then you walk 15 m at an angle of 45° south of east. Assume that East is X and north is why and assume we start at the origin (0,0). A. Make a graph with X and Y axis and draw your path on that graph (to scale or at least as close as you can get). Start the first vector at the origin in the second vector at the top of the first vector. Then draw the resultant vector (their sum)B. Break each part of the walk into their ex and Y components and then some them to get the X and Y components of the resultant vector. Make sure to include units in unit vectors.C. What is your displacement from where you originally started?D. If the whole walk took 40 seconds then what was your average velocity?