A careless window washer dropped his water bucket from high up on a building. The sound of the bucket reached the window washer 4.7s after he dropped it. if the speed of sound that day was 347m/s how high was the window washer .
The distance is the time x velocity.
d = tv
The time is 4.7 seconds. The velocity is 347 m/s
4.7 x 347 = 1630 meters.
1630 meters? really? More than 1.5 km tall?
When you arrive at an answer, always do a sanity check to see whether it makes sense.
It took 4.7s from the time the bucket fell, not from when it hit the ground.
you have to also figure the time t it took the bucket to fall from the height h.
h = 4.9t^2, so t = √(h/4.9)
now, since the total time was 4.7 s,
√(h/4.9) + h/347 = 4.7
h = 95.89 m
To determine how high the window washer was, we can use the formula for calculating height based on the speed of sound and the time it takes for the sound to travel back.
The formula is: height = speed of sound * time / 2
In this case, the speed of sound is given as 347 m/s, and the time it took for the sound to reach the window washer is 4.7 seconds.
Substituting the values into the formula, we can calculate the height:
height = 347 m/s * 4.7 s / 2
height = 814.9 m
Therefore, the window washer was approximately 814.9 meters high.