A ferry boat leaves the east bank of the Mississippi River with a compass bearing 300°. The ferry is traveling at 10 mph relative to the water. Given that velocity of the water current is 4 mph toward the south, a) Express the velocity of the water current in vector form, b) Find the true velocity of the ferry boat in vector form, c) Find the true speed of the boat.

Q: A weather station releases a balloon whose buoyancy accelerates it at 15 m/s². At the same time, a…

A:

Q: A basketball player is shooting some hoops, on one particular shot the ball leaves her hands 11.7m…

A: Horizontal distance (d) = 11.7 m initial height (h) = 2.1 m initial velocity (u) = 15 msθ = 63.4o

Q: A plane navigator plans to fly to a location 1200km away in direction 30o east of north. The weather…

A: (a) Calculate the direction given by navigator to pilot.

Q: A quarterback throws a football with an initial velocity v at an angle θ above horizontal. Assume…

A:

Q: A boat is traveling upstream at 10km/h with respect to the water of a river. The water is flowing at…

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Q: A boat crossing a river can move at 5 m/s with respect to the water. The river is flowing to the…

A:

Q: A migrating salmon heads in the direction N 45° E, swimming at 5 mi/h relative to the water. The…

A: Given Data -----  migrating salmon heads in the direction N 45° E. migrating salmon swimming at 5…

Q: x- and y-components of v2.

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: river that is 816m wide and has a current with a velocity of 2.4 m/s (w), Sarah needs to get…

A: width of river (w) = 816 m velocity of current (v') = 2.4 ms , west velocity of motor boat = 6 ms ,…

Q: solve the following problems

A: Let's tackle these problems one by one.Problem 1: Car TravelUnderstanding the Problem:Car travels…

Q: To cross a stream, which flows west to east, a boat steers at an angle of 60.0\deg north of west.…

A:

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 straight river flows south at a speed of 2 mi/h. A boater attempting to cross the river heads due…

A: Givenriver flow speed, u=2 mi/h    due southmotor boat speed, v=5 mi/h    due west relative to…

Q: A river is flowing at a rate of 7.62 m/s due South. You are canoeing across the river at a speed of…

A: Given that:- Velocity of river=7.62m/s due south

Q: D) A river of water travels 5 km/hr due east. A driver in a boat observes driving his boat at a…

A:

Q: Suppose that a wind is blowing in the direction S45°E at a speed of 50 km/h. A pilot is steering a…

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Q: A ship sets sail from Rotterdam, The Netherlands, heading due north at 9.00 m/s relative to the…

A:

Q: A plane is flying South at speed of 900 km/h. At a specific moment, the wind starts blowing West…

A: Given data:  The velocity of plane = 900 km/h, South The velocity of wind = 50 km/h, West

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Q: A dolphin wants to swim directly back to its home bay, which is 0.800 km due west. It can swim at a…

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Q: - A plane is headed eastward at a speed of 156 m/s relative to the wind. A 20.0 m/s wind is blowing…

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Q: Two ships are moving along a line due east as shown in the figure. The trailing vessel has a speed…

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Q: A car is driving directly north on the freeway at a speed of 119 km/h and a truck is leaving the…

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Q: A basketball player is shooting some hoops, on one particular shot the ball leaves her hands 10.7m…

A: There might be some error in data. Check it once again and follow the same procedure to calculate…

Q: A ship sets sail from Rotterdam, The Netherlands, heading due north at 5.00 m/s relative to the…

A: Velocity of ship Vs= 5m/s North Velocity of ocean water current Vw= 1.54 m/s  40°N of E Components…

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A:

Q: A vessel sets out from Delfzijl, The Netherlands, heading due north at 9.5 m/s relative to the…

A: Given, Vessel speed due North, v1=9.5 m/s, and ocean current speed due 400 North of East, v2=1.5…

Q: Two trains are passing each other on adjacent tracks. Train A is moving west with a speed of 24 m/s,…

A: Let east is positive direction and west is negative direction

Q: A jet airliner is moving east at 225 m/s, but experiences a head wind heading north at 50.0 m/s.…

A: Given:Velocity of the jet airliner, v1 = 225 m/s toward eastVelocity of wind, v2 = 50 m/s toward…

Q: A boat is traveling upstream at 13 km/h with respect to the water of a river. The water is flowing…

A:

Q: A boat is traveling upstream at 12 km/h with respect to the water of a river. The water is flowing…

A: The objective of the question is to find the magnitude and direction of the boat's velocity with…

Q: A migrating salmon heads in the direction N 45° E swimming 5 mi/hr relative to the water. The ocean…

A: The free body diagram is shown below: The velocity of the salmon relative to the water is as…

Q: If the wind is blowing from the east at 47 km/h and an airplane is on a heading of 155° with an…

A: Triangle law of vectors states that when two vectors are represented by the two sides of a triangle…

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.