There is a pulse returns 3.0x10^-4 seconds after it is sent out, having been reflected by an object. What is needed is the distance between the radar antenna and the object? (c = 3x10^8 m/s)
distance = rate * time
2d = 3*10^8 * 3*10^-4 = 9 * 10^4
d = 4.5 * 10^4 meters
To find the distance between the radar antenna and the object, you can use the formula:
Distance = (Speed of light × Time) / 2
Given:
Speed of light (c) = 3x10^8 m/s
Time = 3.0x10^-4 seconds
Plugging in the values into the formula:
Distance = (3x10^8 m/s × 3.0x10^-4 seconds) / 2
Calculating this expression:
Distance = 45000 meters
Therefore, the distance between the radar antenna and the object is 45000 meters.
To determine the distance between the radar antenna and the object, you can use the speed of light and the time it takes for the pulse to return. Here's how you can calculate it:
1. Given information:
- Speed of light (c) = 3x10^8 m/s
- Time for pulse to return (t) = 3.0x10^-4 seconds
2. The time it took for the pulse to go from the radar antenna to the object and back is twice the time for the pulse to return. So, we multiply the time by 2 to get the total round-trip time.
Total round-trip time = 2 * t
Substitute the given value of t:
Total round-trip time = 2 * 3.0x10^-4 seconds
3. Now, we can use the speed of light formula to calculate the distance:
Distance = Speed * Time
Substitute the values:
Distance = c * Total round-trip time
Substitute the value of c and Total round-trip time:
Distance = 3x10^8 m/s * (2 * 3.0x10^-4 seconds)
4. Simplify the expression:
Distance = 6.0x10^8 m * 3.0x10^-4 seconds
To simplify the calculations, you can write the powers of 10 in scientific notation:
Distance = (6.0 * 3.0) x (10^8 * 10^-4) m
Multiply the numbers:
Distance = 18.0 x 10^4 m
Convert the result back to standard notation:
Distance = 1.8 x 10^5 m
Therefore, the distance between the radar antenna and the object is approximately 1.8 x 10^5 meters.