Question

A radio signal takes 1.28 s to travel from a transmitter on the Moon to the surface of Earth. The radio waves travel at 3.00108m/s. What is the distance from the Moon to Earth?

Answer 1

Final answer:

The distance from the Moon to Earth, calculated using the speed of light and the time it takes for radio waves to travel, is 3.84×108 meters or 3.84×105 kilometers.

Step-by-step explanation:

To calculate the distance from the Moon to Earth, we need to use the formula for distance, which is the product of speed and time. Since radio waves travel at the speed of light, we can use the given speed of light (3.00×108 m/s) and the time it takes for radio waves to travel from the Moon to Earth (1.28 s). We use the equation:

Distance = Speed × Time

Plugging in the values:

Distance = 3.00×108 m/s × 1.28 s

Distance = 3.84×108 meters

To convert meters to kilometers, we divide by 1,000:

Distance = 3.84×108 meters / 1,000 = 3.84×105 kilometers

Answer 2

s = 3.84 x 10⁸ m

Step-by-step explanation:

The distance traveled by an object, while in uniform motion, is given by the following equation:

s = vt

where,

s = distance covered

v = speed

t = time interval

In this case:

s = distance between Moon and Earth = ?

v = speed of radio waves = 3 x 10⁸ m/s

t = time taken to travel = 1.28 s

Therefore,

s = (3 x 10⁸ m/s)(1.28 s)

s = 3.84 x 10⁸ m