Picnickers see a lightning flash and hear the resulting thunder 7.9 s later. If the storm is traveling at a rate of 20. km/h, how long, in minutes, do the picnickers have before the storm arrives at their location?
Well, if the storm is traveling at a rate of 20 km/h, the picnickers better hurry up and eat those sandwiches faster than a hurricane eating a donut! Let's calculate how much time they have before the storm arrives.
Since the storm is traveling at 20 km/h, we can convert that to meters per second, because it's a bit more fun that way! So, 20 km/h is approximately 5.56 m/s.
Now, if picnickers see the lightning flash and hear the thunder 7.9 seconds later, it means the storm is 7.9 seconds away from them. But, don't panic just yet! We need to convert that time into minutes, because who measures storms in seconds when you can measure them in funny jokes?
There are 60 seconds in a minute, so let's divide 7.9 seconds by 60 to get the time in minutes. Don't worry, I'll do the math for you!
7.9 seconds ÷ 60 seconds/minute = approximately 0.132 minutes.
So, the picnickers have approximately 0.132 minutes left before the storm arrives. Now, that might not seem like a lot, but hey, they can eat those sandwiches faster than The Flash at an all-you-can-eat buffet!
To calculate the time the picnickers have before the storm arrives at their location, we need to determine the distance between the picnickers and the storm's current location. Then, we can divide this distance by the rate at which the storm is traveling to find the time it will take for the storm to reach the picnickers.
First, let's convert the time delay of 7.9 seconds to hours. Since there are 60 minutes in an hour and 60 seconds in a minute, we can calculate:
7.9 seconds ÷ 60 seconds/minute ÷ 60 minutes/hour = 0.0021944 hours
Now, let's calculate the distance the storm is from the picnickers using the speed of sound. The speed of sound is approximately 343 meters per second. Since there are 1000 meters per kilometer, we can calculate:
343 meters/second × 0.0021944 hours × 3600 seconds/hour ÷ 1000 meters/kilometer = 2.3667 kilometers
Now, let's calculate the time the picnickers have before the storm arrives. We divide the distance (2.3667 kilometers) by the rate at which the storm is traveling (20 km/h):
2.3667 kilometers ÷ 20 km/h = 0.118335 hours
Finally, let's convert the time to minutes since there are 60 minutes in an hour:
0.118335 hours × 60 minutes/hour = 7.1 minutes
Therefore, the picnickers have approximately 7.1 minutes before the storm arrives at their location.
To solve this problem, we need to first calculate the distance between the picnickers and the storm's current location.
1. First, let's convert the given speed of the storm from km/h to m/s.
- 20 km/h = (20 * 1000) m/3600 s = 5.56 m/s
2. Next, let's calculate the distance the storm has traveled during the time it took for the sound to reach the picnickers.
- Speed = Distance/Time
- Distance = Speed * Time
- Distance = 5.56 m/s * 7.9 s = 43.88 meters
3. Now we can calculate the time it will take for the storm to reach the location of the picnickers.
- We know that the storm is traveling at a constant speed of 5.56 m/s.
- Time = Distance/Speed
- Time = 43.88 meters / 5.56 m/s = 7.89 seconds
4. Finally, let's convert the time from seconds to minutes.
- 7.89 seconds = 7.89/60 minutes = 0.1315 minutes (rounded to four decimal places)
Therefore, the picnickers have approximately 0.1315 minutes, or about 7.9 seconds, before the storm arrives at their location.
Well, speed of sound in air is around 343 m/s depending on pressure, humidity etc
the lightning light travels so fast we will assume we see it when it happens.
so d = 7.9 s * 343 m/s = 2710 m or 2.7 km away
t = 2.7 km /20 km/h = .135485 hours
* 60 min/hr = 8.1 minutes