1. A boat can travel at 25 mph wrt the water. If the boat is in...
1. A boat can travel at 25 mph wrt the water. If the boat is in a river that flows East at 10 mph, and we would like the boat to go straight across the river, at what angle should the boat point and what is its speed relative to the shore?
2. A boat travels at 25 mph wrt the river, 20°west of north. The river flows east at 10 mph. What is the velocity of the boat wrt the shore?
Homework Answers
A straight river flows east at 10 mph. A motorboat heads from the south shore of...
A straight river flows east at 10 mph. A motorboat heads from the south shore of the river at a heading of N30ºW toward the opposite shore at a speed of 20 mph and maintains that heading. Do the following: • Draw a diagram of the situation. Show your axes. • Express the velocity of the river as a vector in component form ai+bj. • Express the velocity of the motorboat relative to the water as a vector in component...
Suppose at one point along the Nile River a ferryboat must travel straight across a 1.08-mile...
Suppose at one point along the Nile River a ferryboat must travel straight across a 1.08-mile stretch from west to east. At this location, the river flows from south to north with a speed of 2.85 m/s. The ferryboat has a motor that can move the boat forward at a constant speed of 26.0 mph in still water. If the captain points the boat directly at the target location on the east bank of the river, how far downstream will...
Suppose at one point along the Nile River a ferryboat must travel straight across a 1.22-mile stretch from west to east
Suppose at one point along the Nile River a ferryboat must travel straight across a 1.22-mile stretch from west to east. At this location, the river flows from south to north with a speed of 2.31 m/s. The ferryboat has a motor that can move the boat forward at a constant speed of 27.1 mph in still water. If the captain points the boat directly at the target location on the east bank of the river, how far downstream will...
A 200-m-wide river flows due east at a uniform speed of 3.4m/s. A boat with a...
A 200-m-wide river flows due east at a uniform speed of 3.4m/s. A boat with a speed of 8.4m/s relative to the water leaves the south bank pointed in a direction 34o west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take...
A 250-m-wide river flows due east at a uniform speed of 4.0m/s. A boat with a...
A 250-m-wide river flows due east at a uniform speed of 4.0m/s. A boat with a speed of 6.9m/s relative to the water leaves the south bank pointed in a direction 26o west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take...
Plz help me and show the work, thank you A boat launches from one shore of...
Plz help me and show the work, thank you
A boat launches from one shore of a river heading upstream at an angle of 60o to the shore. The boat's speed, relative to the water, is 9 mph and the current of the river flows against the course of the boat in such a way that the boat ends up traveling directly across the river (L to the shore). How fast must the current of the river be flowing if...
A boat going down river is initially traveling at 25 knots (1 knot 1.151 mph). Determine...
A boat going down river is initially traveling at 25 knots (1 knot 1.151 mph). Determine the distance traveled past starting point A in 5 minutes if the boat travels at 25 knots relative to the shore for 1 minute before cutting its engines. The river current flows at 2 knots causing the boat's velocity relative to the shore to follow the function v = 42.2-6in(t- 59) ft/s after the engines are cut, where is in seconds. v (ft/s) 40...
A boat crossing a wide river moves with a speed of 17.0 km/h relative to the...
A boat crossing a wide river moves with a speed of 17.0 km/h relative to the water. The water in the river has a steady speed of 6.00 km/h due north relative to the earth. 1) What is the angle made between the velocity of the boat relative to the observer and the west direction? 2) At what angle against the steam must the boat be headed with respect to the west direction in order for it to proceed west...
A river flows due east at 1. 50 m/s. A boat crosses the river from the...
A river flows due east at 1. 50 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.0 m/s due north relative to the water. (a) What is the velocity of the boat relative to the shore? (b) If the river is 300 m wide, how far downstream has the boat moved by the time it reaches the north shore?
A 280-m-wide river flows due east at a uniform speed of 4.4m/s. A boat with a...
A 280-m-wide river flows due east at a uniform speed of 4.4m/s. A boat with a speed of 6.9m/s relative to the water leaves the south bank pointed in a direction 33owest of north. What is the (a) magnitude and (b)direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take for the...
Plz help me and show the work, thank you
A boat launches from one shore of a river heading upstream at an angle of 60o to the shore. The boat's speed, relative to the water, is 9 mph and the current of the river flows against the course of the boat in such a way that the boat ends up traveling directly across the river (L to the shore). How fast must the current of the river be flowing if...
A boat going down river is initially traveling at 25 knots (1 knot 1.151 mph). Determine the distance traveled past starting point A in 5 minutes if the boat travels at 25 knots relative to the shore for 1 minute before cutting its engines. The river current flows at 2 knots causing the boat's velocity relative to the shore to follow the function v = 42.2-6in(t- 59) ft/s after the engines are cut, where is in seconds. v (ft/s) 40...
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