Velocity of boat, vb = 10 m/s north-east
vb = 10 cos 45 i + 10 sin 45 j
vb = (7.071 i + 7.071 j) m/s
Time taken by boat to reach the far shore,
t = 300 / 7.071 = 42.42 s
Distance, d = (resultant velocity of boat in east) * time
d = (7.071 - 3) * 42.42
d = 173 m upstream
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 river flows due east at 2.69 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 12.2 m/s due north relative to the water. What is (a) the magnitude (m/s) and (b) the direction (degrees east of north) of the boat’s velocity relative to shore? (c) If the river is 324 m wide, how far (m) downstream has the boat moved by the time it reaches the north shore?
A certain river is 0.5 mi wide, and flows due east at 2.7 mi/h relative to the shore. A boat attempts to cross the river straight from one shore to the other. If the boat travels due north at 1.7 mi/h relative to the river, (a) what is the speed of the boat relative to the shore? (b) how far downstream is the boat when it reaches the opposite shore?
A 230-m-wide river flows due east at a uniform speed of 2.1 m/s. A boat with speed of 7.8 m/s relative to the water leaves the south bank of the river pointed in a direction 35 degrees west of north. What is the magnitude of the boat's velocity relative to the ground (in m/s)? Enter only the numerical part of the answer in the box Question 2 1 pts A 212-m-wide river flows due east at a uniform speed of...
A 300 m wide river flows 2 m/s due east (downstream). Your friend is in the river 150 m north and 100 m west of you (you are on the shoreline). Your friend drifts at the speed of the river, but you can swim at 3 m/s relative to the water. Assuming you start swimming immediately. At what angle (relative to north) should you swim to reach your friend in the shortest amount of time? b) How far downstream (i.e.,...
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...
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 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...
2. A boat crosses a river. The river is flowing at 4 m/s. The boat starts a Point A and travels 6 m/s relative to the river, oriented perpendicular to the current. How far downstream will the boat have been carried when it reaches the opposite shore at Point B? - Ax =? + VR = 4 m/s 75 VB/R = 6 m/s
A 246-m-wide river flows due east at a uniform speed of 1.7 m/s. A boat with speed of 7.9 m/s relative to the water leaves the south bank of the river pointed in a direction 34.9 degrees west of north. How long does it take the boat to reach the other side of the river (in seconds)? Enter only the numerical part of the answer in the box.