Question

A boy stands at a certain distance from a large building and blows a whistle. After 2.3s he hears the echo of the sound. He moves 50m towards the building and blows his whistle again; this time the echo reaches him after 2.0s. Calculate thei. Boys original distance from the building ii. Speed of sound in air

Answer 1

To find the boy's original distance from the building, use the equation distance = speed x time. To find the speed of sound in air, use the equation speed = distance / time.

Step-by-step explanation:

To solve the problem, we can use the equation: distance = speed x time.

i. To find the boy's original distance from the building, we can set up the equation: distance = speed x time. The time it takes for the sound to travel to the building and back is twice the time it takes for the echo to reach the boy. So, the distance can be calculated using the equation: distance = speed of sound x time/2. Substituting the given values, we get: distance = (343 m/s x 2.3 s)/2.

ii. To find the speed of sound in air, we can use the equation: speed = distance / time. In this case, we can find the speed of sound by calculating the difference in distance and time between the two scenarios. The speed can be calculated using the equation: speed = (distance1 - distance2) / (time1 - time2). Substituting the given values, we get: speed = (50 m - 0) / (2.3 s - 2.0 s).