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A bee flies 2 km [E] in 400s, then 4 km [E 75 degrees] in 2 000s. Calculate the speed and velocity of the trip.
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- In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 130 km and 25.0 of west, then 5.10 km due east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?A group of hikers sets out going 10.0km [N], then 15.0km [E], then 4.0km [S]. The entire trip takes 4.00h. Determine the magnitude hikers' distance for the trip.A boat sails 100 km east then 200 km 60o south of east. How far and which way is it from the origin?
- A pilot flies with a plane 20 km northward with an angle of 60 east ➚ , then 30 km to the east ⮕ , then 10 to the north ⬆ , what is its distance from the start and what is its directionYou found a treasure map and it is said that: Start at the well, go 100 m straight south then 30 m, 40 degrees north of west, then 25 m straight east, and finally 45m, 75 degrees south of east. How far from the well and in what direction is the hidden treasure? The Given: 0 163.3m 13.67 m -19.28m 4.80 -22.98 m 85.20 S of E 163.3 m -100m E of S 25m -43.47 m 19.28 m 0 11.65 m 100mIn using polar coordinates to describe plane polar motion the velocity is expressed as: O v = rð e, + †0e, O v = r0e, + rðe, O v = rð e, + re, O v = r e, + r0e,
- An ion's position vector is initially r==(5i-6j+2k)m, and 10 s later it is r=(-2i+8j-2k)m.In unit-vector notation ,what is its Vavg during the 10s?A group of hikers sets out going 10.0km [N], then 15.0km [E], then 4.0km [S]. The entire trip takes 4.00h. Determine the magnitude hikers' displacement for the trip.Mimi leaves home to travel 6.5mi due east. Then She goes 3mi due south and in the last leg she goes 4mi, 25degrees W of S. Give her total distance traveled, what is her displacement and my angle and direction.
- A sailor in a small sailboat encounters shifting winds. She sails 8.00 km south, then 15 km 30deg E of N, and then 12km 25deg N of W. Use polygon method to determine magnitude and direction of her resultant displacement.Assume that the earth’s orbit around the sun is circular and has a radius of 1.50 x 10 to the 8th power kilometers? (a) What is the magnitude of the orbital velocity of the earth, in meters per second? (b) What is the magnitude of the centripetal acceleration of the earth toward the sun, in meters per second squared?In an attempt to escape his island, Gilligan builds a raftand sets to sea. The wind shifts a great deal during the day,and he is blown along the following straight lines: 2.50 km45.0º north of west; then 4.70 km 60.0º south of east;then 1.30 km 25.0º south of west; then 5.10 km straighteast; then 1.70 km 5.00º east of north; then 7.20 km55.0º south of west; and finally 2.80 km 10.0º north ofeast. What is his final position relative to the island?24. Suppose a pilot flies 40.0 km in a direction 60º north ofeast and then flies 30.0 km in a direction 15º north of east .Find her total distance R from thestarting point and the direction θ of the straight-line path tothe final position. Discuss qualitatively how this flight would bealtered by a wind from the north and how the effect of the wind would depend on both wind speed and the speed of theplane relative to the air mass