You are traveling on an airplane. The velocity of the plane with respect to the air is 150 m/s due east. The velocity of the air with respect to the ground is 37 m/s at an angle of 30° west of due north. 1) What is the speed of the plane with respect to the ground? m/s 2) What is the heading of the plane with respect to the ground? (Let 0° represent due north, 90° represents due east). ° East of due North 3) How far east will the plane travel in 1 hour? m

Hiker Harry walks 4 km east then 7 km 25o north of west. What is the magnitude and direction of Harry’s position after his hike as measured from his starting point? Give the angle measured relative to east. For example 90° means directly north.

An airplane takes off and flies upward at an angle of 21° with a constant speed of 262 m/s. While the plane is flying upward, a piece of the engine falls off when the plane reaches a height of 860 m. a) How long does it take the piece of the engine to reach the ground? Give your answer in seconds. b) What is the horizontal distance covered by the piece of the engine before it lands? Give your answer in meters.

A plane is flying with an airspeed of 325 mph is headed in the direction 86.7°. The wind currents are running at a constant 73.4 mph at 272.7°. Find the ground speed and true course of the plane. Round your answer is to the nearest whole number for speed into one decimal place for the angle mi/hr at ° from due north

A plane is initially flying at a speed of 350 mph east, when it runs into a stormy area where the wind blows at 90 mph in the direction 30.0° north of east. Calculate the new speed (in mph) and direction (in degrees north of east) of the plane relative to the ground. (Enter your answer accurate to at least one decimal place.) speed  mphdirection  ° north of east (b) What If? In what direction (in degrees south of east) should the plane aim to move so that its net speed is eastward despite the wind?   What would be the speed (in mph) of the plane relative to the ground in this case?

You drive 7.50 km in a straight line in a direction 30° East of North. (a) Find the distances you would have to drive straight East and then straight North to arrive at the same point. (This is equivalent to finding the components of the displacement along the East and North directions.) km East km North (b) Show that you still arrive at the same point if the East and North legs are reversed in order. In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great deal during the day, and he is blown along the following straight lines: 2.5 km 45° north of west; then 4.70 km 60° south of east; then 5.1 km straight east; then 7.2 km 55° south of west; and finally 2.8 km 5° north of east. What is his final position relative to the island? km ° south of east Suppose you walk 18.0 m straight west and then 25.0 m straight north. Figure How far are you from your starting point? m What is the compass direction of a line connecting your starting point to your…

Starting in Albany, you travel a distance 101 miles in a direction 37.1 degrees north of west. Then, from this new position, you travel another distance 355 miles in a direction 10.2 degrees north of east. In your final position, what is your displacement from Albany? If the correct answer doesn't appear among the choices, choose the answer that has the correct distance and angle, even if the direction reference (north of east or north of west) is incorrect. a. 456 miles 47.3 degrees North of Westb. 246 miles 46.1 degrees North of Westc. 456 miles 47.3 degrees North of Eastd. 296 miles 24.7 degrees North of West

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On the map, let the +x-axis point east and the +y-axis north. An airplane flies at 810 km/h in the south direction.  Enter the x and y components of the velocity separated by a comma.

Need help with question 2: Add the following vectors using the component method. Give your answer in both component form and polar coordinate form. Make a sketch to represent each problem by drawing both vectors and the resultant.