Perpendicular 7005
A speedboat moves relative to the water at a constant speed of 13 m/s. The speed of the water current in the river is 5 m/s
a) At what angle concerning the water current must the boat sail to keep moving perpendicular to the banks of the river?
b) At what speed does the boat approach the opposite bank?
a) At what angle concerning the water current must the boat sail to keep moving perpendicular to the banks of the river?
b) At what speed does the boat approach the opposite bank?
Correct answer:
Tips for related online calculators
Our vector sum calculator can add two vectors given by their magnitudes and by included angle.
Do you want to convert velocity (speed) units?
See also our right triangle calculator.
See also our trigonometric triangle calculator.
Do you want to convert velocity (speed) units?
See also our right triangle calculator.
See also our trigonometric triangle calculator.
You need to know the following knowledge to solve this word math problem:
- geometry
- vector
- arithmetic
- addition
- subtraction
- planimetrics
- right triangle
- triangle
- goniometry and trigonometry
- sine
- cosine
- arccosine
Units of physical quantities:
Themes, topics:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Relative 67684
The boat moves along the river at a speed of v1 = 5km. h-1 and upstream v2 = 2km. h-1. What is the current P's and boat L's speed relative to the water? - Downstream 81577
The water in the river has a speed of 4.8 km/h relative to the bank. A boat in still water has a speed of 12.6 km/h. a) What is the boat's speed relative to the shore if it is sailing downstream and upstream of the river? b) What path will the boat travel - The swimmer
The swimmer swims at a constant speed of 0.85 m/s relative to water flow. The current speed in the river is 0.40 m/s, and the river width is 90 m. a) What is the resulting speed of the swimmer for the tree on the riverbank when the swimmer's motion is per - Direction 63264
A railway car weighing 10 t moves around the Earth at a speed of 10 m/s. Determine the kinetic energy of the car relative to the Earth and relative to another car moving at a speed of 10 m relative to the Earth. s-1, both in the same direction and the opp
- Graphically 7004
A boatman walks along the ship's deck at a constant speed of 5 km/h in a direction that forms an angle of 60° with the direction of the ship's speed. The boat moves with respect to the lake's calm surface at a constant speed of 10 km/h. Determine graphica - Traveling 28813
The ship set sail at 6 A.M. and traveled at a speed of 16 km per hour. At 8:30 A.M., a speedboat was sent behind her, traveling 24 miles per hour. When will the boat catch up? - Concerning 7000
Some points are at rest in a moving railway car concerning the earth's surface. However, some points move in the opposite direction to the direction of the moving car's speed. Which points are they? - Concerning 83022
A man with a mass of 80 kg crosses at a speed of 5 m/s through the car of a train traveling at 15 m/s. Indeed, the kinetic energy of a man: and, concerning the car b, relative to the surface of the earth, if the man is traveling in the direction of travel - Downstream 7002
A rowboat sailing down a river covers a distance of 120 m downstream in 12 s and upstream in 24 s. Find the magnitude of the ship's velocity relative to the water and the current in the river. Both speeds are constant.
- The ship
The ship went at the upstream speed of 20 km/h in relation to water. The river flows at a speed of 10 km/h. After half an hour, he stopped and returned downstream to the starting point. How long does it take back when even if the downstream speed of the s - Simultaneously 18813
2 ships sail simultaneously towards each other from places 2340m apart. I sail both ships at a constant speed. The first boat travels 56m per minute, and the second 74m per minute. Create an equation that corresponds to the assignment of the task if the u - Bridge across the river
The width of the river is 89 m. For terrain reasons, the bridge deviates from a common perpendicular to both banks by an angle of 12° 30 '. Calculate how many meters the bridge is longer than the river. - Opposite 78434
We see the tree on the opposite bank of the river at an angle of 15° from a distance of 41m from the river bank. From the bank of the river, we can see at an angle of 31°. How tall is the tree? - Perpendicular 7001
We throw a ball in an express car traveling at a constant speed of 24 m/s, whose initial speed relative to the vehicle is 7 m/s. What is the initial velocity of the ball relative to the surface of the ground if we throw it a) in the direction of travel b)
- Accompanying 5748
An accompanying vehicle set off behind the car with an oversized load moving at a speed of 16 km / h in 2.5 hours, which must reach it in 45 minutes. What speed does he have to go? - Ships
The red ship begins its circuit every 30 minutes. The blue boat begins its circuit every 45 minutes. Both ships begin their sightseeing circuit in the same place at the same time, always at 10:00 o'clock. a / What time does the boat meet again? b / How ma - Raindrops
The car runs on a horizontal track at a constant speed of 20 m2-1. It is raining. Raindrops fall in a vertical direction at a speed of 6 m/s. a) How fast is the speed of the drops relative to the car windows? b) What is the angle of the raindro