The wind is blowing 29° east of north at 30 mph. A plane must travel on a resultant path 47° south of east at 415 mph. What speed should the plane maintain? A. 402.146 mph B. 407.914 mph C. 415.843 mph D. 425.229 mph
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- (a) Another airplane is flying in a jet stream that is blowing at 45.0 m/s in a direction 20° south of east (as in Exercise 3.58). Its direction of motion relative to the Earth is 45.0° south of west, while its direction of travel relative to the air is 5.00° south of west. What is the airplane's speed relative to the air mass? (b) What is the airplane's speed relative to the Earth?(a) In what direction would the ship in Exercise 3.57 have to travel in order to have a velocity straight north relative to the Earth, assuming its speed relative to the water remains 7.00 m/s? (b) What would its speed be relative to the Earth?A kayaker needs to paddle north across a 100-m-wide harbor. The tide is going out, creating a tidal current flowing east at 2.0 m/s. The kayaker can paddle with a speed of 3.0 m/s. a. In which direction should he paddle in order to travel straight across the harbor? b. How long will it take him to cross?
- The navigator of an airplane plans a flight from one airport to another 1000.0 km away, in one direction 30 degrees east of north. The weather office informs him of a prevailing wind from the west of 75.0 km/h. The pilot wants to maintain an air speed of 250 km/h.A) What heading should the navigator give the pilot?B) How long will the flight take?C) How much time ddi the wind save?A jet airliner moving initially at 3.80 ✕ 102 mi/h due east enters a region where the wind is blowing at 1.00 ✕ 102 mi/h in a direction 29.5° north of east. (Let the x-direction be eastward and the y-direction be northward.) (a) Find the components of the velocity of the jet airliner relative to the air, vJA. (b) Find the components of the velocity of the air relative to Earth, vAE (c) What are the speed and direction of the aircraft relative to the ground? magnitude _______ mi/h direction _______ °north of eastA ship sets sail from Rotterdam, The Netherlands, heading due north at 7.00 m/s relative to the water. The local ocean current is 1.55 m/s in a direction 40° north of east. What is the velocity of the ship relative to the earth? m/s ° N of E
- You are driving north on a highway. Then, without changing speed, you round a curve and drive east . (a)Does your velocity change? (b) Do you accelerate?Explain.4. a,b a big cruise ship dropped anchor off the caribbean island of barbuda. the heavy anchor was released from a height of 54 meters above the water's surface, and it fell at a constant rate. after 35 seconds, the anchor was 9 meters below the water's surface. a) how fast did the anchor drop? b) how long did it take the anchor to reach the water's surface?An airplane pilot wishes to fly directly westward. According to the weather bureau, a wind of 75.0 km/hourkm/hour is blowing southward. The speed of the plane relative to the air (called the "air speed") as measured by instruments aboard the plane is 310 km/hourkm/hour . In which direction should the pilot head? a)What is the speed of the air relative to a person standing on the ground, vA/G? What is the speed of the plane relative to the air, vP/A?
- A pilot is required to fly directly from London, UK, to Rome, Italy in 4.5h. The displacement is 1.7 x 103km [S15o E] A wind is blowing from the west with a velocity of 75 km/hr. Determine the required velocity of the plane relative to the air.A plane travels N 30o W at an air speed of 600 kph. If the wind has a speed of 80 kph on a direction of N 40o E. What is the direction of the plane relative to the ground?a. N 23o 10' Wb. N 33o 40' Wc. N 51o 20' Wd. N 35o 12' WA plane is flying to a city 746 km directly north of its initial location. The plane maintains a speed of 178 km/h relative to the air during its flight. (a) If the plane flies through a constant headwind blowing south at 55.5 km/h, how much time (in h) will it take to reach the city? h (b) If instead the plane flies through a constant tailwind blowing at 55.5 km/h, how much time (in h) will it take to reach the city? h (c) If instead the plane flies through a constant crosswind blowing east at 55.5 km/h, how much time (in h) will it take to reach the city? h