Question

Скорость течения воды в реке 4м\с. Лодка плывет перпендикулярна течению со скоростью 3м/с относительно воды. Определите скорость движения лодки относительно берега.

Answer 1

Все вектора скоростей образуют пр. тр-ик. В нем необходимо найти гипотенузу - скорость относительно берега. Находим ее по теореме Пифагора:

v = кор(v1^2 + v2^2) = кор(16+9) = 5

Ответ: 5 м/с.

Answer 2

Calculation of the Boat's Velocity Relative to the Shore

To determine the velocity of the boat relative to the shore, we need to consider the velocity of the boat relative to the water and the velocity of the water relative to the shore.

Given: - Velocity of the water in the river = 4 m/s - Velocity of the boat relative to the water = 3 m/s

To find the velocity of the boat relative to the shore, we can use the vector addition of velocities.

The velocity of the boat relative to the shore (V_boat/shore) can be calculated using the formula:

V_boat/shore = V_boat/water + V_water/shore

Substituting the given values:

V_boat/shore = 3 m/s + 4 m/s

Calculating the sum:

V_boat/shore = 7 m/s

Therefore, the velocity of the boat relative to the shore is 7 m/s.