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A car is initially at rest, 330m away from a stationary observer. It began to move towards the observer with an acceleration 1.1m/s^2. 20s later driver stop sounding the horn. The observer will hear the sound of the horn for what duration??? Velocity of sound in air 330m/s?
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A car is initially at rest, 330m away from a stationary observer. It b...
Given:
Initial position of the car (x₀) = 330m
Acceleration of the car (a) = 1.1m/s²
Velocity of sound in air (v) = 330m/s
Time when the driver stops sounding the horn (t) = 20s
To find:
Duration for which the observer will hear the sound of the horn
Analysis:
To solve this problem, we need to consider the motion of the car towards the observer and the propagation of sound in air.
Motion of the car:
The car is initially at rest and starts moving towards the observer with an acceleration of 1.1m/s². We can use the kinematic equation to determine the position of the car at any given time.
The equation for position (x) as a function of time (t) for an object with constant acceleration is:
x = x₀ + v₀t + 0.5at²
In this case, since the car is initially at rest (v₀ = 0), the equation simplifies to:
x = x₀ + 0.5at²
Propagation of sound:
The observer will hear the sound of the horn when the sound waves reach them. The distance traveled by the sound waves is given by:
d = vt
Where d is the distance, v is the velocity of sound, and t is the time.
Solution:
To find the duration for which the observer will hear the sound of the horn, we need to determine the time it takes for the sound waves to reach the observer from the car.
1. Calculate the position of the car at time t = 20s:
x = x₀ + 0.5at²
x = 330m + 0.5(1.1m/s²)(20s)²
x = 330m + 0.5(1.1m/s²)(400s²)
x = 330m + 220m
x = 550m
2. Calculate the distance traveled by the sound waves:
d = vt
d = (330m/s)(20s)
d = 6600m
3. Calculate the duration for which the observer will hear the sound of the horn:
Duration = Distance traveled by sound waves / Velocity of sound
Duration = 6600m / 330m/s
Duration = 20s
Therefore, the observer will hear the sound of the horn for 20 seconds.
Initial position of the car (x₀) = 330m
Acceleration of the car (a) = 1.1m/s²
Velocity of sound in air (v) = 330m/s
Time when the driver stops sounding the horn (t) = 20s
To find:
Duration for which the observer will hear the sound of the horn
Analysis:
To solve this problem, we need to consider the motion of the car towards the observer and the propagation of sound in air.
Motion of the car:
The car is initially at rest and starts moving towards the observer with an acceleration of 1.1m/s². We can use the kinematic equation to determine the position of the car at any given time.
The equation for position (x) as a function of time (t) for an object with constant acceleration is:
x = x₀ + v₀t + 0.5at²
In this case, since the car is initially at rest (v₀ = 0), the equation simplifies to:
x = x₀ + 0.5at²
Propagation of sound:
The observer will hear the sound of the horn when the sound waves reach them. The distance traveled by the sound waves is given by:
d = vt
Where d is the distance, v is the velocity of sound, and t is the time.
Solution:
To find the duration for which the observer will hear the sound of the horn, we need to determine the time it takes for the sound waves to reach the observer from the car.
1. Calculate the position of the car at time t = 20s:
x = x₀ + 0.5at²
x = 330m + 0.5(1.1m/s²)(20s)²
x = 330m + 0.5(1.1m/s²)(400s²)
x = 330m + 220m
x = 550m
2. Calculate the distance traveled by the sound waves:
d = vt
d = (330m/s)(20s)
d = 6600m
3. Calculate the duration for which the observer will hear the sound of the horn:
Duration = Distance traveled by sound waves / Velocity of sound
Duration = 6600m / 330m/s
Duration = 20s
Therefore, the observer will hear the sound of the horn for 20 seconds.
Community Answer
A car is initially at rest, 330m away from a stationary observer. It b...
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A car is initially at rest, 330m away from a stationary observer. It began to move towards the observer with an acceleration 1.1m/s^2. 20s later driver stop sounding the horn. The observer will hear the sound of the horn for what duration??? Velocity of sound in air 330m/s?
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A car is initially at rest, 330m away from a stationary observer. It began to move towards the observer with an acceleration 1.1m/s^2. 20s later driver stop sounding the horn. The observer will hear the sound of the horn for what duration??? Velocity of sound in air 330m/s? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A car is initially at rest, 330m away from a stationary observer. It began to move towards the observer with an acceleration 1.1m/s^2. 20s later driver stop sounding the horn. The observer will hear the sound of the horn for what duration??? Velocity of sound in air 330m/s? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car is initially at rest, 330m away from a stationary observer. It began to move towards the observer with an acceleration 1.1m/s^2. 20s later driver stop sounding the horn. The observer will hear the sound of the horn for what duration??? Velocity of sound in air 330m/s?.
A car is initially at rest, 330m away from a stationary observer. It began to move towards the observer with an acceleration 1.1m/s^2. 20s later driver stop sounding the horn. The observer will hear the sound of the horn for what duration??? Velocity of sound in air 330m/s? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A car is initially at rest, 330m away from a stationary observer. It began to move towards the observer with an acceleration 1.1m/s^2. 20s later driver stop sounding the horn. The observer will hear the sound of the horn for what duration??? Velocity of sound in air 330m/s? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car is initially at rest, 330m away from a stationary observer. It began to move towards the observer with an acceleration 1.1m/s^2. 20s later driver stop sounding the horn. The observer will hear the sound of the horn for what duration??? Velocity of sound in air 330m/s?.
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