Mr. Linn is standing 50m from a large bell. With his mighty throwing arm, Mr. Linn throws a rock at the bell and he hears the sound of the bell 4.5 s later. If the speed of the sound is 330m/s, what was the speed of the rock in the air?
I expect that you are to consider only the rock's horizontal speed.
In that case, just recall that time = distance/speed.
So, if the rock's speed was x m/s, we need the total round-trip time of rock and sound to be 4.5 s. That means we have to solve
50/x + 50/330 = 4.5
x = 11.5 m/s
Well, it seems like Mr. Linn has quite the throwing arm! Let's do some clown math to find out the speed of that rock.
We can start by calculating the time it takes for the sound to reach Mr. Linn. The speed of sound is given as 330 m/s, and Mr. Linn hears the sound 4.5 seconds later. So, the total distance covered by the sound is 330 m/s * 4.5 s = 1485 m.
Now, let's calculate the distance covered by the rock. It traveled a total distance of 50 m to reach the bell. If we subtract this from the total distance covered by sound, we get 1485 m - 50 m = 1435 m covered by the rock.
To find the speed of the rock, we divide the distance covered by the rock by the time it took for the sound to reach Mr. Linn. That's 1435 m / 4.5 s = 319.44 m/s.
Voila! The speed of the rock in the air is approximately 319.44 m/s. Mr. Linn certainly knows how to make a rock fly! Just make sure he doesn't end up juggling them instead.
To find the speed of the rock in the air, we can use the formula:
Speed = Distance/Time
The distance the sound traveled is the same as the distance the rock traveled, which is 50m.
The time it took for the sound to reach Mr. Linn is 4.5 seconds.
So, the speed of the rock is:
Speed = Distance/Time
Speed = 50m/4.5s
Speed = 11.11 m/s
Therefore, the speed of the rock in the air was approximately 11.11 m/s.
To find the speed of the rock in the air, we can use the formula:
Speed = Distance / Time
First, let's find the total distance the sound traveled to reach Mr. Linn. From the information given, we can calculate that by using the speed of sound and the time it took for the sound to reach him. We have:
Distance(sound) = Speed(sound) * Time(sound)
Distance(sound) = 330 m/s * 4.5 s
Distance(sound) = 1485 m
Now, we need to find the distance the rock traveled. Since Mr. Linn threw the rock and heard the sound of the bell 4.5 seconds later, we can say that the rock traveled for 4.5 seconds as well. The total distance the rock traveled would be the sum of the distance between Mr. Linn and the bell and the distance traveled by the sound.
Distance(rock) = Distance(bell) + Distance(sound)
Distance(rock) = 50 m + 1485 m
Distance(rock) = 1535 m
Finally, we can find the speed of the rock:
Speed(rock) = Distance(rock) / Time(rock)
Speed(rock) = 1535 m / 4.5 s
Speed(rock) ≈ 341.1 m/s
Therefore, the speed of the rock in the air is approximately 341.1 m/s.