A boat travels on a heading of 335o at a constant speed of 28 km/h relative to the water. If the current is 18 km/h with a heading of 60o , what is the velocity of the ship and its bearing?

Q: On a day when the wind is blowing toward the north at 7 m/s, a runner jogs west at 7 m/s. What is…

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Q: Two ships leave port at the same time, one ship A sailing in the direction N20degreesW at a speed of…

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Q: A west-bound car is sighted 25 miles north of a radar station. 10 minutes later its bearing is N…

A: Given: Distance covered by the vehicle, d=25 mi Time elapsed, t=10 min

Q: 25. The Hōküle'a voyaging canoe is headed due north at a speed of 5 knots. The current is flowing at…

A: speed of the person vp=5 knotsspeed of the current vc=1 knot

Q: A plane is flying at 280 km/h [E 42° S] relative to the air when the wind is blowing from [E 250 N]…

A: Given, Velocity of plane relative to air, vPA=280cos42°i-280sin42°j Velocity of air,…

Q: James is moving at 55ft/sec 25° S of E where he meets a breeze with the velocity of 33ft/sec due…

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Q: A boat is headed east up a river at a speed of 25 m/s relative to the water. The current in the…

A: As per the given data, Let the speed of the boat relative to the water (VBW) = + 25 m/s; (Towards…

Q: A woman is driving at a velocity of 26.74 m/s at an angle of 48° What is the Y component of her…

A: Given data The velocity of the woman is given as v = 26.74 m/s. The angle of inclination is given…

Q: a river has a 5.3 m/s current due east. with respect to the water the boats velocity is 15 m/s at 75…

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Q: An athlete crosses a 21 m wide river by swimming perpendicular to the water current at a speed of…

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Q: 1) Leaving camp, a hiker walks 5.00 km in a direction 40.0° N of W, then an additional 10.0 km at…

A: Displacement can be defined as the change in the position of an object. And its magnitude gives the…

Q: Whats the resultant velocity of an airplane that normally flies at 235 lm/h if it encountered a 60…

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Q: The Gulf Stream can flow as fast as 3.6 m/s directly north. A ship in the current has a cruising…

A: Given:    Velocity of river, v1 = 3.6 m/s (North)   Speed of ship, v2 = 10 m/s  To determine the…

Q: A ship is steering [N60E] at 15 knots when a sailor on board detects a bird moving at a velocity of…

A: According to the given data  Speed of the ship = 15 knots  N60E  Speed of the bird relative to the…

Q: A person who is 35 ft east of you runs north at 16 ft/s. At what angle north of east would you throw…

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Q: A boat cruises 3 hours upstream with a current of 4kph. The return journey took two hours. To…

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Q: A swimmer is orientated perpendicular to the parallel banks of river. If the swimmer's velocity is…

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Q: Two ships move from a port at the same time. Ship A has velocity of 70 kmph and is moving in South…

A: Velocity vector of ship A is, v→A=70 kmph-cos30°x^-sin30°y^=-60.62 kmphx^-35 kmphy^ Velocity vector…

Q: A boat travels 12km downstream and 16km upstream in 12 hours. If the rate of the current is 3kph,…

A: Let's call the rate of the boat in still water "b" (in km/h). When the boat is going downstream…

Q: A swimmer is crossing a river at a speed of 1.5 m/s due west. The river’s current is 2.0 m/s due…

A: Speed of swimmer = 1.5 m/s (west) Speed of river's current = 2 m/s (south) Speed of swimmer with…

Q: A sailboat is traveling at an absolute speed of 3 m/s against a .5 m/s current and with a 6 m/s…

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Q: Two ships A and B leave a port at noon. Ship A travels north at 6 km/hr and ship B travels east at 8…

A: Given: The velocity of ship A is 6 km/h in the north direction. The velocity of ship B is 8 km/h in…

Q: Omar swims across a river at a velocity of 2.50 m/s [30 o N of E] with respect to the water. The…

A: Given: Velocity of the Omar u = 2.5 m/s in [30 o N of E]  velocity of the river v = 5.4 m/s in East…

Q: A yacht moves with a velocity of 15 m/s, N in an ocean which flows with a velocity of 8.0 m/s,…

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Q: An athlete crosses a 29 m wide river by swimming perpendicular to the water current at a speed of…

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Q: A boat heads east at east at 10 km/ hr in a river that flows south at 3 * O km/hr. What is the…

A: Given,  The velocity of the boat v1=10 km/h heading East. The velocity of the river v2=3 km/h at the…

Q: Salt water with a density of 6 = 0.25 g/ cm flows over the curve r(t) = /5ti+ 2ij. Osts5, according…

A: Given: ς= 0.25 g/cm2 rt=5ti+2tj

Q: What bearing and airspeed are required for a plane to fly 700 miles due north in 3.5 hours if the…

A: Use vector resultant formula

Q: A plane has an eastward heading at a speed of 100m/s (relative to the air). A 20m/s wind is blowing…

A: The plane’s relative velocity with respect to the air is:

Q: A boat crosses a river of width 123 m in which the current has a uniform speed of 1.49 m/s. The…

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Q: An airplane flies due south at 160 km/h relative to the air. There is wind blowing at 92 km/h to the…

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Q: A ship sets sail from Rotterdam, heading due north at 7.00 m/s relative to the water. The local…

A: Given that the ship's water speed in relation to the sea is 7 ms, the ocean current's velocity is…

Q: A van had a small light in the ceiling of the cargo bay. When the van is accelerating east at a rate…

A: Newton's second law of motion states that the acceleration of an object is directly proportional to…

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.