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- Please as soon as possible85. A plane travels N30°W at 450 mph and encounters a wind blowing due west at 30 mph. (See Example 9) a. Express the velocity of the plane v, relative to the air in terms of i and j. b. Express the velocity of the wind vw in terms of i and j. c. Express the true velocity of the plane v, in terms of i and j and find the true speed of the plane.The speed of light traveling through air is 3.0*10^8 m/s, while the speed of sound traveling through air is 3.4*10^2 m/s. a. if a bolt of lightning strikes 5.2 km away, how much time does it take the flash of lightning to reach you? b. How much time elapses before the clap of thunder reaches you?
- You are traveling to the North-East at 50 m/s. Simultaneously you are being pushed towards the East at a speed of 10 m/s. a. If you proceed in this manner for 10 minutes, what is the displacement vector from the t=0 location? b. How far do you travel in the East direction during these 10 mins.?Light travels at a constant speed of 3.003.00 × 10108 m/s, whereas sound travels through the air at a constant speed of 343343 m/s. a.) How long does it take for light to travel from a lightning stroke to an observer 13.213.2 km away? b.) For the observer above, how long after the flash is seen is the thunder heard? c.) Does the time required for light to travel to the observer affect the final answer for Part 2 when using three significant figures?Determine the magnitude of Coriolis acceleration if N = 5 rad/sec. 120 mm T 120 mm Select one: O OO a. 1.08 m/s² b. 3.00 m/s c. 4.32 m/s² d. 0.48 m/s² D 45° B N
- A helicopter blade spins at exactly 110 revolutions per minute. Its tip is 9.5 m from the center of rotation. A. What is the average speed of the blade tip in the helicopter's frame of reference, in meters per second? B. What is the average velocity over one revolution, in meters per second?Only C Answer in one of the images3. The position of a drone as a function of time is given by m m *(t) = ( 8 i – 5 j+ 1.5 k) m + (-2 î + 4 j) t - t2j a. What is the x-position of the drone as a function of time? b. What is the y-position of the drone as a function of time? c. How far away is the drone from its starting position at t = 3s? What is the acceleration vector? e. What is the velocity vector as a function of time? f. At what time is the speed equal to 4 m/s?
- David is buying a jet boat this summer and spending a lot of time zooming around. One place he plans on going is to the Plate River above Albany, NY. The current is 4 m/s south and the river is 200m wide. the boat will move at 20 m/s at full throttle, his only setting. A. how quickly will he cross the river if he heads straight across?B. how far downstream will he end up if he does so?C. if he wants to go straight across, what angle upstream should he use?Geese migrate along north and south directions for well over a thousand kilometers in some cases traveling speeds up to about 100 km/h. If one such bird is flying at 100km/h relative to the air but there is a 34.0 km/h wind blowing from the west to east. A.) at what angle relative to the north-south direction should this bird head so that it will be traveling directly southward relative to the ground? Express answer in degrees b.) how long will it take the bird to cover a ground distance of 500 km from north to south? ( Note: Even on cloudy nights many birds navigate using the earth's magnetic field to fix the north-south direction)B. What is the magnitude and direction of ating