Question

Самолет летит курсором на север со скоростью 288км/ч. найти направление и скорость движения самолета, если подует западный ветер со скоростью 20м/с. сделать рисунок. каким будет ответ, если ветер северо-западный?

Answer 1

курсором на север со скоростью 288км/ч. = 80 м/с

западный ветер со скоростью 20м/с

-------- 20 м/с

|      *

|    *

|A *       tg(A)=20/80=1/4-----направление

|*          u=√80^2+20^2=20√17 м/с----скорость

80 м/с

 

курсором на север со скоростью 288км/ч. = 80 м/с

западный ветер со скоростью 20м/с

|*

|B  *   B=45 град   

|      *    

|         * 20 м/с       

|      *          

|А *             u=√(20^2+80^2-2*20*80*cos45)=40√(4-√2) м/с -скорость

80 м/с         20/sinA=u/sinB ; sinA=20sinB/40√(4-√2) ---направление

 

Answer 2

Calculation of the Direction and Speed of the Plane

To find the direction and speed of the plane, we need to consider the effect of the wind on the plane's motion.

Given: - The plane is flying north at a speed of 288 km/h. - There is a west wind blowing at a speed of 20 m/s.

To calculate the resultant direction and speed of the plane, we can use vector addition. We'll consider the north direction as positive and the west direction as negative.

Let's break down the velocities into their components:

- Plane velocity: 288 km/h north - Wind velocity: 20 m/s west

Converting the plane velocity to m/s: - Plane velocity: 288 km/h = 288,000 m/3600 s = 80 m/s north

Now, let's add the velocities:

- Horizontal component: 0 m/s (since the wind is blowing west) - Vertical component: 80 m/s north

To find the resultant direction and speed, we can use the Pythagorean theorem:

Resultant speed = √(horizontal component^2 + vertical component^2)

Resultant speed = √(0^2 + 80^2) = √(0 + 6400) = √6400 = 80 m/s

The resultant speed of the plane is 80 m/s.

To find the resultant direction, we can use trigonometry:

Resultant direction = arctan(vertical component / horizontal component)

Resultant direction = arctan(80 / 0) = undefined

Since the horizontal component is 0, the resultant direction is undefined.

Therefore, the resultant speed of the plane is 80 m/s, but the resultant direction cannot be determined due to the wind blowing directly west.

Diagram

Unfortunately, I am unable to provide a diagram in this text-based format. However, you can visualize the situation by imagining a plane flying north and a wind blowing from the west. The plane's path will be affected by the wind, causing it to deviate from a straight northward path.

North-West Wind

If the wind were north-west, the calculation would be similar. The wind velocity would have both north and west components. We would need to break down the wind velocity into its components and then add them to the plane's velocity to find the resultant direction and speed. However, since the wind is directly west in this case, the resultant direction is undefined.

I hope this explanation helps! Let me know if you have any further questions.