A helicopter flew N78°W for 1.6 miles and then S64°W for 0.9 miles. a) How far is the helicopter from its starting position? b) What is the true bearing of the helicopter from its starting position?
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- Problem 1: Suppose you ride a bike 18 km straight north then 10 km straight east. a) How far are you from your starting point? b) What is the "compass direction" of a line connecting your starting point to your final position, i.e. how many degrees "east of north" are you from where you started?Part b.) A hiker starts walking due west from Sasquatch Point and gets to the Chupacabra Trailhead before she realizes that she hasn't reset her pedometer. From the Chupacabra Trailhead, she hikes for 5 miles along a bearing of N53°W which brings her to the Muffin Observatory. From there, she knows that a bearing of S65°E will take her straight back to Sasquatch Point. How far will she have to walk to get from the Muffin Ridge Observatory to Sasquatch Point? (Round your answer to 2 decimal places) _____ mi What is the distance between Sasquatch Point and the Chupacabra Trailhead? (Round your answer to two decimal places) _____ mi (Can you please explain in steps how you solved these problems?)Use your knowledge of bearing, heading, and true course to sketch a diagram that will help you solve the problem.A plane is flying with an airspeed of 140 miles per hour and heading 150°. The wind currents are running at 30 miles per hour at 175° clockwise from due north. Use vectors to find the true course and ground speed of the plane. (Round your answers to the nearest ten for the speed and to the nearest whole number for the angle.)mi/hr with heading °
- An engineer designs a roller coaster so that a car travels horizontally angle of 46.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) 202 ft, then climbs 137 ft at an angle of 31.0° above the horizontal. It then moves 137 ft at an magnitude ft direction ° counterclockwise from the +x-axisAsha is walking along a straight path from the National Geographic Museum towards the International Spy Museum. The International Spy Museum is 1.22 km east and 0.91 km south of the National Geographic Museum. Part way along her path, Asha turns perpendicular to the path she was originally following to a second path towards the White House. The White House is 0.91 km directly south of the National Geographic Museum. Using (0,0) for the location of the National Geographic Museum, determine the slope of the line representing Asha’s second path and write a linear equation for this path. Show how you arrived at your answer.You fly 35.0 km in a straight line in still air in the direction 31.0° south of west. a) Find the distances you would have to fly straight south and then straight west to arrive at the same point. 18.0263 30.0009 30.0792 km South b) Find the distances you would have to fly first directly south-west and then directly north-west. 7.49958 km West km South-West km North-West
- A homogeneous pulley with two grooves consists of two wheels which turn together as one around the same axis. The moment of inertia of the two wheels together is ICM = 40 kg m2. The radii are: R1 = 1.2 m and R2 = 0.4 m. The masses that hang on both sides of the pulley are m1 = 36 kg and m2 = 12 kg. We will assume that the masses of the ropes are negligible. Determine the angular acceleration of the pulley, acceleration of the masses, and the tensions of the ropes.Joe lives on Horizontal Road (which runs east-west),which intersects Vertical Expressway (which runs north-south).Aldi and Lidl are both located on Vertical Expressway, with Aldi being 3.4 miles south of Lidl. Joe’s house is 5.9 miles from Lidl on a bearing of 201.8 degrees . What is the bearing of Joe’s house from Aldi ?Asap like
- A person is traveling in a plane at 400 miles/hour due east with a strong crosswind blowing from north to south at 200 miles/hour. A) What is the velocity and direction angle of the plane in the crosswind? B) What is the total distance traveled by the airplane in one hour?Spring break has just begun and Latonya boards a plane to visit her Grandma. Latonya flies 711.5 miles due East from City A to City B. After a short layover, Latonya flies 551.4 miles in a direction of 35.9° north of east from City B to City C. a. What is the magnitude of Latonya's resultant displacement between city A and city C? Resultant's magnitude miles b. What is the direction of Latonya's resultant displacement? Resultant's direction CCW from East Info Info Attempts: 0/00 Attempts: 0/00 Submit SubmitThe treasure map in the figure gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 550 paces, then due east for 150 paces. Dig." But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle 60∘ east of north. After walking 400 paces you see an opening through the woods. a) Which direction should you go to reach the treasure? b) How far should you go to reach the treasure?