Assignment3 (MCV4U) Name: Due Date: Max Marks: 100 Marking Rubric (for question 1-7) (Each question is of 10 marks) Knowledge & Understanding Draw a neat labeled Communication 2 diagram indicating the scale, magnitude and direction of the resultant vector and its components. Thinking w Apply the correct formula Application 3 Solve the problem by correct substitution of the numbers Example An airplane is flying at an airspeed of 500 km/h, on a heading of 040. A 150-km/h wind is blowing from a bearing of 120. Determine the ground velocity of the airplane and the direction of flight. Draw a diagram illustrating the velocities and resultant vector. Use a compass quadrant graph. *500 km/h 140 120 150 km/h Redraw the diagram, showing the resultant. 500 km/h 80 150 km/hb) Vector a and Vector b are parallel 1. Determine the resultant of each vector sum. c) Angle between Vectora and Vector b when placed tail to tail is 60 degrees a) 45 km/h vertically and then 75 km/h horizontally b) 3.6 m/s horizontally and then 2.3 m/s vertically 2. A plane traveling at 400 mph is flying with a bearing of 40. There is a wind of 50 mph from the 9. Determine if the triangle POR with the given coordinates is a right-angled triangle using South. If no correction is made for the wind, what are the final bearing and ground speed of the cartesian coordinates plane? P (-5,3) Q (-7,8) and R (3,12) 3. A plane leaves the airport on a bearing 45" traveling a 400 mph. The wind is blowing at a bearing of 135" at a speed of 40 mph. What is the actual velocity of the plane? 10. Given that A (3,1) and B(-4,8) determine the angle between vector AB and the positive y axis. 4. A plane flies through wind that blows with a speed of 35 miles per hour in the direction N 43" W. In still air: the plane has a speed of 550 miles per hour; the plane is headed in the direction N 60' E. Find the actual velocity of the plane. 5. A ship left the dock and travelled north at 50km/h for 2 hours, then it turned west at 60km/h for 3 hours. What is the net resultant displacement vector? 6. Two tow trucks are trying to pull a heavy trailer out of a ditch. One tow truck is applying a force of 4500N at N40W and the other truck is pulling with a force of 6500N at 210. The trailer remained in the ditch. Calculate the resultant force on the heavy trailer. 7. Find the horizontal and vertical components of the following vectors v = 425 km/h [659] a = 8.21 m/s' [219"] d = 385.2 m [$57'E] F = 46 N [N20 W] 8. Given that Vector a = 3 i + m j and Vector b = -4 i + 2 j .Find the value of m if a) Vector a and Vector b are perpendicular Page 2 of 7
