Mr. Smith is standing 50m from a large bell. With his mighty throwing arm, Mr.Smith throws a rock at the bell and he hears the sound of the bell 4.5s later. If the speed of sound is 330 m/s, what was the speed of the rock in the air?
See Related Questions: Tue, 2-7-12, 11:59 AM.
11.5 m/s
To find the speed of the rock in the air, we can use the concept of speed, time, and distance.
First, let's determine the time it took for the rock to reach the bell. We are given that Mr. Smith heard the sound of the bell 4.5s later. Since the speed of sound is 330 m/s, the sound traveled a distance of 330 m/s * 4.5 s = 1485 m.
Next, let's determine the distance between Mr. Smith and the bell. We know that Mr. Smith was standing 50m from the bell.
Now let's calculate the total distance traveled by the rock. The total distance is the sum of the distance between Mr. Smith and the bell plus the distance traveled by sound. So, the total distance is 50 m + 1485 m = 1535 m.
Finally, we can calculate the speed of the rock in the air. The speed of an object can be calculated by dividing the total distance traveled by the time taken. So, the speed of the rock is 1535 m / 4.5 s = 341.11 m/s.
Therefore, the speed of the rock in the air is approximately 341.11 m/s.
To calculate the speed of the rock in the air, we need to find the total distance traveled by the rock. We can break down the total distance into two parts: the distance from Mr. Smith to the bell, and the distance covered by sound from the bell to Mr. Smith.
Let's calculate the distance from Mr. Smith to the bell. This distance is given as 50m.
Now, let's calculate the distance covered by sound from the bell to Mr. Smith. We know that the speed of sound is 330 m/s, and it took 4.5s for the sound to reach Mr. Smith. Using the formula distance = speed × time, we can calculate the distance covered by sound as follows:
Distance = Speed of sound × Time
Distance = 330 m/s × 4.5s
Distance = 1485m
Next, we can calculate the total distance traveled by the rock:
Total Distance = Distance from Mr. Smith to the bell + Distance covered by sound
Total Distance = 50m + 1485m
Total Distance = 1535m
Finally, we can calculate the speed of the rock in the air. Since speed = distance / time, we can rearrange the formula to find:
Speed of the rock = Total Distance / Time taken for the sound to reach Mr. Smith
Speed of the rock = 1535m / 4.5s
Speed of the rock ≈ 341.1 m/s
Therefore, the speed of the rock in the air is approximately 341.1 m/s.