Question

In: Physics

Moana is a sailing from her home to a nearby island which is 215 miles north...

Moana is a sailing from her home to a nearby island which is 215 miles north and 33 miles west. There is a constant ocean current of 0.50 knots moving from west to east. Moana can sail her boat at a cruising speed of 5.5 miles per hour in still water.

1. What angle should Moana sail to get to the island?

2. How long will it take her to get there?

3. Moana’s friend Maui is floating on a raft that is moving with the ocean current (meaning, he is not traveling with respect to the water). Would Maui see Moana’s boat traveling with a speed faster than, slower than, or equal to what an observer standing on the shore would see? Explain your reasoning

Solutions

Expert Solution


Related Solutions

Moana (an expert sailor) is sailing from her home to a nearby island which is 125...
Moana (an expert sailor) is sailing from her home to a nearby island which is 125 miles north and 125 miles west. There is a constant ocean current of 0.50 knots (kn) moving from west to east. Moana can sail her boat at a cruising speed of 5.5 miles per hour in still water. 1. What angle should Moana sail to get to the island? 2. How long will it take her to get there? 3. Moana’s friend Maui is...
A bicyclist rides on a North-South trail from her home to work. She starts at home...
A bicyclist rides on a North-South trail from her home to work. She starts at home and rides due North for 22 minutes with a velocity of 7.2 m/s. She gets tired, so she slows down and rides for 36 minutes due North with a velocity of 5.1 m/s. Suddenly, she realizes that she missed her destination, frantically turns around, and rides due South for 8.0 minutes with a velocity of 10.1 m/s before reaching work. a. What is her...
In a hypothetical island that is 5,000 miles away from humanity and includes no frictions in...
In a hypothetical island that is 5,000 miles away from humanity and includes no frictions in the market other than human nature, there are many shipping companies going back and forth that carry goods produced in the island to the world outside the island. There is also a dock to load these goods to the ships. The shipping industry is perfectly competitive. In the island, there is a cement factory. The price per unit of cement at the door of...
10) a) A small island is 2 miles from the nearest point P of a straight...
10) a) A small island is 2 miles from the nearest point P of a straight shoreline. If a woman on the island can row a boat 3 miles an hour and can walk 4 miles an hour, where should the boat be landed in order to arrive at a town 10 miles down the shore from P, in the least time? b) Suppose instead that the woman uses a motorboat that goes 20 miles per hour. Then where should...
A person starts walking from home and walks: 3 miles East 5 miles Southeast 6 miles...
A person starts walking from home and walks: 3 miles East 5 miles Southeast 6 miles South 2 miles Southwest 3 miles East A. Find the total displacement vector for this walk: _ i+_ j B. If this person walked straight home, they'd have to walk ___ Miles
A map suggests that Atlanta is 730 miles in a direction 5.00° north of east from...
A map suggests that Atlanta is 730 miles in a direction 5.00° north of east from Dallas. The same map shows that Chicago is 560 miles in a direction 21.0° west of north from Atlanta. The figure below shows the location of these three cities. Modeling the Earth as flat, use this information to find the displacement from Dallas to Chicago. magnitude     mi direction     ° north of east of Dallas
A train starting at noon, travels north at 40 miles per hour. Another train starting from...
A train starting at noon, travels north at 40 miles per hour. Another train starting from the same point at 2 PM travels east at 50 miles per hour. Find, to the nearest mile per hour, how fast the two trains are separating at 3 PM. How fast the trains are separating after long time?
The Pine Ridge Reservation, which is larger than Delaware and Rhode Island combined, is home to...
The Pine Ridge Reservation, which is larger than Delaware and Rhode Island combined, is home to Sioux. It is one of the poorest places in America, with about 98% of residents below the poverty level and a life expectancy of 48 for men and 52 for women. According to Feir, Gillezeau and Jones why are the Sioux Indians among the poorest in the nation?
Two cars start driving from the same point. One travels north at 30 miles per hour,...
Two cars start driving from the same point. One travels north at 30 miles per hour, and the other travels east at 45 miles per hour. At what rate is the distance between the cars increasing two hours later? (a) Draw a diagram, label quantities. (b) Write rates as derivatives. (c) Find an equation involving the quantities; differentiate on both sides with respect to t. (d) Plug in known information and solve for the unknown. [As usual, numeric simplification not...
2. Two travelers David and Mike has returned home from a trip to an exotic island...
2. Two travelers David and Mike has returned home from a trip to an exotic island where they each purchased the same antique for $1. Upon arrival they each discovered that the airline has managed to smash them! The airline manager assures the travelers of adequate compensation, but since he does not know the cost of the antiques he comes up with the following scheme: Each of the two travelers has to write down on a piece of paper the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT