A jetliner has a cruising air speed of 600 mph relative to theair. How long does it take this plane to fly round-trip fromSan Francisco to Chicago, an east-west flight of 2,000 mi each way,(a) if there is no wind blowing and (b) if the wind is blowing at150 mph from the west to the east?

(a) A physicist runs straight south at velocity 8 mi/hr. She decides to change her course so that the wind is at her back (directly from the north, relative to the earth) at velocity 20 mi/hr. She decides to change her course so that the wind will striker her right side (i.e., at 90° relative to her motion). By what angle must she change her direction of motion?

A woman can row a boat at 7.60 km/h in still water. (a) If she is crossing a river where the current is 3.80 km/h, in what direction must her boat be headed if she wants to reach a point directly opposite her starting point? Express your answer as an angle with respect to the line perpendicular to the river, positive if down the river. (b) If the river is 7.60 km wide, how long will she take to cross the river? (c) Suppose that instead of crossing the river she rows 3.80 km down the river and then back to her starting point. How long will she take? (d) How long will she take to row 3.80 km up the river and then back to her starting point? (e) In what direction should she head the boat if she wants to cross in the shortest possible time, and (f) what is that time?

A rowboat crosses a river with a velocity of0.87 m/s at an angle 34◦ North of West relativeto the water. The river is 648 m wide and carries a currentof 0.57 m/s due East. When the boat reaches the opposite bank,how far East or West (downstream “+” orupstream “−”) from its starting point (on theopposite bank) does it land.Note: In your answer, take an Eastwarddisplacement to be positive and a Westwarddisplacement to be negative.Answer in units of m

A boat can travel 2.20 m/s in still water. (a) If the boat points directly across a stream whose current is 1.20 m/s what is the velocity (magnitude and direction) of the boat relative to the shore? (b) What will be the position of the boat, relative to its point of origin, after 3.00 s?

A swimmer heading directly across a river 200 m wide reaches the opposite bank in 6 min 40s, during which time she is swept downstream 480 m. (a) How fast can she swim in still water? (b) What is the speed of the current?

The Airbus A350 from Manila bound for St. Petersburg cannot travel in a straight route due to weather disturbances and some restrictions in the air space. Instead, it travelled at a velocity of 740 kph due 25° NNE, then it turned towards East at a velocity of 870 kph. After that, at a velocity of 900 kph, it ventured 35° WNW, then it turned 50° South of West maintaining the same velocity of 900 kph. Finally, to reach its destination, it needs to turn towards west at a velocity of 350 kph. Find the magnitude and direction of the resultant of the airplane’s velocity during its flight.

Two airplanes leave the Hay River airport in the Northwest Territories at the same time. One airplane travels at 370 km/h. The other airplane travels at 520 km/h. About 2 h later, they are 930 km apart. Determine the angle between their paths, to the nearest degrec.

1)An airplane starting from airport A flies 300 km east, then 350 km at 30.0° west of north, and then 150km north to arrive finally at airport B. (a) The next day, another plane flies directly from A to B in astraight line. In what direction should the pilot travel in this direct flight? (b) How far will the pilot travelin this direct flight? Assume there is no wind during these flights.