Consider a wind velocity of 50 mi/h at an angle of 30° north of east. North 30° The magnitude of the vector is given: 50 mi/h Pre-Lab Question #1: Find x and y components of this example using trigonometry 1-D velocity example. Bob is truck surfing. The truck is traveling at +20 m/s. Bob can throw a ball a 10m/s. If he throws it in the + direction, what is the speed of the ball as observed by a roadsid observer? This is a vector addition problem. Starting with BallRelative ToEarthBallRelativeTo Truck T TruckRelaive ToEarth -+10m/s +20m/s =+30 m/s Pre-Lab Question #2: What if he throws it in the'-'direction? Solve: Three friends pull on a box in the directions shown below. What is the net force? Express magnitude and angle direction relative to the x axis. Solution: Again, first choose a suitable coordinate system. 120N the xy system shown. Then write each force using x and y components 100N 60° F3 20 F2

Q: A plane’s bearing is S 33 E and is going 600mph. A 75 mph headwind is blowing in the direction N 76…

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Q: The figure shows two vectors, A and B, with A = 6.59 m, B = 2.09 m, 0 = 47°, and = 14°. Let C = B-A.…

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Q: A helicopter flies 11 miles south. It then turns 66° east of south and travels an additional 42…

A: A helicopter flies 11 miles south. It then turns 66 east of south and travels an additional 42…

Q: A roller coaster travels 350 feet horizontally and then travels 130 feet at an angle of 60° from the…

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Q: A pilot heads her jet due east. The jet has an air speed of 425 miles per hour. The wind is blowing…

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Q: A nuclear submarine approaches the surface of the ocean at 22.2 km/h and at an angle of 16.7° with…

A: Given velocity( v ) = 22.2 kmhlet angle( θ ) = 16.7°

Q: olve applications involving vectors. A basketball is shot at a 54° angle with the horizontal…

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Q: The figure shows two vectors, A and B, with A = 6.59 m, B = 2.09 m, 0 = 47°, and = 14°. Let C = B-A.…

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Q: Write v as the sum of two vector components if v = -5i + 6j and w = 3i+ 4j

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Q: Add the given vectors by components. A= 366, 0, - 232.3° B%3D226,0,3D296.6

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Q: 1. The cross winds hitting the plane due east is given by the formula as follows. 20 sin 2wt + 30…

A: Ans- To determine the resultant heading of the aircraft, we need to find the vector sum of the cross…

Q: 5. If A is (8, -7) and B is (5, 16), find a unit vector in the same direction as AB.

A: Given A(8,-7) and B(5,16)

Q: Starting from home at the origin O. a rhino travels for 9.1 km in the direction 60° North of East to…

A: We will use  components along x-axis and y-axis to represent all vectors

Q: 820 N Z 142° Round your answers to the closest whole number. x-component = y-component =

A: Given: 820N∠142∘