Question

Катер перетинає річку шириною 120м тримаючи курс перпендикулярно до течії. Визначити відстань на яку знесе течія катер під час переправи якщо швидкість катера відносно води 2,4м/с а швидкість течії 0,7 м/с? Яка швидкість катера відносно берегів?

Answer 1

Відповідь:

Пояснення:

Дано:

s=120m

v2=2.4 m/c

vt=0.7 m/c

L-?

v-?

$v=\sqrt{v2^{2}+vt^{2} } =\sqrt{2.4^{2}+0.7^{2} } =2.5 \frac{m}{c} \\v2=\frac{S}{t} \\t=\frac{S}{v2}=\frac{120}{2.4} =50c\\L=vt*t=0.7*50=35m$

Answer 2

Calculation of the Distance Drifted by the Boat:

To calculate the distance the boat will drift during the crossing, we can use the concept of relative velocity. The boat's velocity relative to the water is given as 2.4 m/s, and the velocity of the current is given as 0.7 m/s.

The boat's velocity relative to the ground (or the velocity of the boat relative to the banks of the river) can be calculated by subtracting the velocity of the current from the boat's velocity relative to the water.

Let's calculate the velocity of the boat relative to the ground:

Velocity of the boat relative to the ground = Velocity of the boat relative to the water - Velocity of the current

Velocity of the boat relative to the ground = 2.4 m/s - 0.7 m/s = 1.7 m/s

Now, we can calculate the distance the boat will drift during the crossing. The time taken to cross the river can be calculated by dividing the width of the river by the velocity of the boat relative to the ground.

Distance drifted by the boat = Velocity of the boat relative to the ground * Time taken to cross the river

The width of the river is given as 120 m. To calculate the time taken to cross the river, we can divide the width of the river by the velocity of the boat relative to the ground.

Time taken to cross the river = Width of the river / Velocity of the boat relative to the ground

Time taken to cross the river = 120 m / 1.7 m/s ≈ 70.59 seconds

Now, we can calculate the distance the boat will drift:

Distance drifted by the boat = Velocity of the boat relative to the ground * Time taken to cross the river

Distance drifted by the boat = 1.7 m/s * 70.59 s ≈ 120.1 meters

Therefore, the boat will drift approximately 120.1 meters during the crossing.

Calculation of the Boat's Velocity Relative to the Banks:

To calculate the boat's velocity relative to the banks (or the ground), we can use the concept of vector addition. The boat's velocity relative to the water is given as 2.4 m/s, and the velocity of the current is given as 0.7 m/s.

The boat's velocity relative to the ground can be calculated by adding the velocity of the current to the boat's velocity relative to the water.

Velocity of the boat relative to the ground = Velocity of the boat relative to the water + Velocity of the current

Velocity of the boat relative to the ground = 2.4 m/s + 0.7 m/s = 3.1 m/s

Therefore, the boat's velocity relative to the banks is 3.1 m/s.

Please let me know if there is anything else I can help you with!