an aircraft is moving east with a speed of 510km/h at a height of 200m. at a certain distance,the sound of the plane as heard by a ground observer appears to be coming from a point vertically above him. where is the plane at this instant? explain with diagram.(speed of sound in air=340m/s).sir,plzzzzz answer this question.

Question

an aircraft is moving east with a speed of 510km/h at a height of 200m. at a certain distance,the sound of the plane as heard by a ground observer appears to be coming from a point vertically above him. where is the plane at this instant? explain with diagram.(speed of sound in air=340m/s).sir,plzzzzz answer this question.

Answer 1

To answer this question, we can use the concept of the speed of sound and the relative motion of the aircraft. Let's break it down step by step:

Step 1: Calculate the time it takes for the sound to reach the ground observer.
The speed of sound in air is given as 340 m/s. We can calculate the time it takes for sound to travel from the aircraft to the ground observer.

Distance between the aircraft and the ground observer (height) = 200 m
Time = Distance / Speed of sound
Time = 200 m / 340 m/s
Time ≈ 0.588 s

Step 2: Calculate the distance traveled by the aircraft in this time.
The aircraft is moving east with a speed of 510 km/h. We need to convert it to meters per second.

Speed of the aircraft = 510 km/h = 510000 m / 3600 s ≈ 141.67 m/s

Distance = Speed × Time
Distance = 141.67 m/s × 0.588 s
Distance ≈ 83.33 m

Step 3: Draw a diagram to visualize the situation.
Take a piece of paper and draw a horizontal line representing the ground. Mark a point on the line to indicate the ground observer. Draw a vertical line from the ground observer to represent the sound coming directly from above. This vertical line represents the apparent origin of the sound as heard by the observer.

Now, from the endpoint of the vertical line, draw a straight line at an angle towards the right to represent the path followed by the aircraft in 0.588 seconds. The length of this line should be approximately 83.33 m.

The aircraft will be located at the endpoint of this line. Label this point as the position of the aircraft at that instant.

Note: The diagram drawn should represent a 2D projection, as we assume the observer is on a flat surface.

I hope this explanation helps you visualize the situation. If you have any further questions, feel free to ask!