Question

Пловец переплывает реку по кратчайшему пути. Скорость пловца относительно воды 5 км/ч, скорость течения 3км/ч. Чему равна скорость пловца относительно берега?

Answer 1

кратчайший путь - проплыть первпендикулярно

чтобы пловец плыл перпендикулярно он изначально плыл в направлении под углом к перпендикуляру(во вложении)

получается прямоугольный треугольник с гипотинузой vпл и катетм vp

v^2=vпл^2-vр^2=5^2-3^2=16

v=4 км/ч относительно беоега, направление - перпендикулярно берегу

 

 

 

 

 

 

 

 

Answer 2

Calculation of the Swimmer's Speed Relative to the Shore

To calculate the swimmer's speed relative to the shore, we need to consider the swimmer's speed relative to the water and the speed of the current.

Given: - Swimmer's speed relative to the water: 5 km/h - Speed of the current: 3 km/h

To find the swimmer's speed relative to the shore, we can use the concept of vector addition. The swimmer's speed relative to the shore is the vector sum of the swimmer's speed relative to the water and the speed of the current.

Using vector addition, we can calculate the swimmer's speed relative to the shore as follows:

Swimmer's speed relative to the shore = Swimmer's speed relative to the water + Speed of the current

Substituting the given values:

Swimmer's speed relative to the shore = 5 km/h + 3 km/h

Therefore, the swimmer's speed relative to the shore is 8 km/h.

Please note that this calculation assumes that the swimmer is swimming perpendicular to the current. If the swimmer is swimming at an angle to the current, the calculation would involve vector components and trigonometry.