1.The sound from a bolt of lighting travelled 4.08km in 12.0s. whats was the spped of the sound in metres per second?
0.340m/s
49.0m/s
340m/s
343m/s
2.A vehicle is travelling 1.0x10^2 km/h. what is the spped of the vehicle in metres per second?
28m/s
27.8m/s
3.6x10^2m/s
1.0x10^4m/s
1.
4.08 km/12 s x (1000 m/1 km) = ? m/s
1. The speed of sound is approximately 343m/s.
2. The speed of the vehicle in meters per second is 27.8m/s.
To convert km/h to m/s, divide the speed in km/h by 3.6.
1. Speed of sound in meters per second:
The given speed is 4.08 km in 12.0 seconds.
To convert km to m, multiply by 1000.
Speed = (4.08 km / 12.0 s) * 1000 m/km = 340 m/s.
Therefore, the speed of sound is 340 m/s.
2. Speed of the vehicle in meters per second:
The given speed is 1.0 x 10^2 km/h.
To convert km to m, multiply by 1000.
Speed = (1.0 x 10^2 km/h) * 1000 m/km = 1.0 x 10^5 m/h.
To convert hours to seconds, multiply by 3600 since there are 3600 seconds in an hour.
Speed = (1.0 x 10^5 m/h) / 3600 s/h = (1.0 x 10^5 / 3600) m/s = 27.8 m/s.
Therefore, the speed of the vehicle is 27.8 m/s.
1. To find the speed of the sound in meters per second, we can use the formula:
Speed = Distance/Time
Given that the sound traveled 4.08 km in 12.0 s, we need to convert the distance from kilometers to meters and the time from seconds to meters per second.
Distance = 4.08 km = 4.08 × 1000 m = 4080 m
Time = 12.0 s
Therefore, the speed of the sound in meters per second is:
Speed = Distance/Time = 4080 m/ 12.0 s = 340 m/s
Hence, the correct answer is 340 m/s.
2. To convert the speed of the vehicle from kilometers per hour (km/h) to meters per second (m/s), we need to divide the speed by 3.6 because there are 3600 seconds in an hour.
Given that the vehicle is traveling at 1.0 × 10^2 km/h, the speed in meters per second is:
Speed = (1.0 × 10^2 km/h) / (3.6 m/s) = (100 × 1000 m) / (3.6 s) = 100000 m/3.6 s
Simplifying the expression, we get:
Speed ≈ 27777.778 m/s ≈ 27,780 m/s ≈ 27.8 m/s
Therefore, the correct answer is 27.8 m/s.