An airplane flies on a heading of 110o at a constant speed of 525 km/h. If the velocity vector of the wind is 40 km/h at 210o, what is the speed vector of the plane? (Show diagram of velocity vectors relative to North)

Question 20 A helicopter is heading S 43° E (i.e. direction angle of 313°) with an airspeed of 27 mph, and the wind is blowing S 13° E (i.e. direction angle of 283°) at 10 mph. Helicopter's speed Round all numbers in your answers below to 2 places after the decimal point. (a) Find the velocity vector that represents the true heading of the helicopter. Type your answer in component form, (where a and b represent some numbers). Velocity vector of helicopter's true heading: (b) Find the helicopter's speed relative to the ground (in mph). mph (c) Find the helicopter's drift angle, 8. (The drift angle is the number of degrees that the helicopter will end up flying off-course.) 8 = Submit Question degrees

Which one of the following vectors is pointing 80° south of east? 80°

Two position vectors lie in a plane. The first, vector r points at an angle of 20° below the positive x-axis and has a magnitude of 57.5 m. The second, vector , points at an angle of 55.5° above the positive x-axis and has a magnitude of 75 m. (a) Choose the diagram below that is correct a graphical representation of + 78. +y +y magnitude direction FA FB fc 4 FA fc m FB Viewing Saved Mort: Be +X (counterclockwise from the +x-axis) +y +y FB FA ŤA fc fc (b) What is the magnitude and direction of vector re? Give the direction as an angle measured counterclockwise from the positive x- axis? FB +X + X Ad Tha

A long distance commercial passenger plane flies North at 910 km/h. At the same time, there is wind of 30 km/h from the West. Use a scaled diagram, Pythagorean Theorem and trigonometry to answer the following . a) What is the magnitude of the resultant velocity?  b) What is the direction of the resultant ( North, South, East, West, NE, NW, SE or SW).  c). What is the angle of the resultant relative to due East? Round your answer to the nearest tenth.

It takes a golfer a total of three strokes to put the ball in the hole. The displacements of the three strokes are as follows: d, = 4.20 m the north, d, = 2.10 m northeast, and d, = 1.10 m at 6 = 30.0° west of south, as shown in the figure. If the golfer had made the hole in a single shot, what would be the displacement of the ball? (Assume the positive y- and x-axes are in the north and east directions, respectively. Give the magnitude of your answer in meters and the direction in degrees north of east.) N dz dz W- E 'p magnitude m direction o north of east

please provide the vector diagram and your mathematical solution.

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OA = (2,3) A 0 Which of the following best approximates the vector shown above? 45 m/s, 60 degrees north of west O 2 m/s, at 45 degrees O 3.6 m/s, 56 degrees north of East O 3 m/s, 30 degrees west of north

The horizontal distance or range (R) of an object thrown at an angle θ from the horizontal is represented by the equation below where v0 is the initial velocity as the object leaves the hand, in feet per second. If v0 = 2500 feet per second and θ is changed from 13° to 14°, use differentials to approximate the change in range, in feet.