Question

5. During an experiment, a signal
from a spaceship reached the
ground station in five minutes.
What was the distance of the
spaceship from the ground
station? The signal travels at the
speed of light, that is, 3 x 108
m s-​

Answer 1

Explanation:

Let the distance between the spaceship and the ground station be 'S' .

Then, S=vt

where, v= speed of signal =3×10⁸m/s

t= time taken =5min=5×60s=300s

∴s=3×10⁸×300

=9×10¹⁰m

Answer 2

Given :-

Time taken by the signal  from a spaceship reached the  ground station = 5 min

Speed of the signal = 3 × 10⁸ m/s

To Find :-

The distance of the  spaceship from the ground  station.

Analysis :-

Firstly, convert the minutes to seconds.

Then substitute the given values in the formula of distance.

Solution :-

We know that,

• d = Distance
• s = Speed
• t = Time

By the formula,

$\underline{\boxed{\sf Distance=Total \ speed \times Total \ time}}$

Given that,

Time (t) = 5 min = 300 sec

Speed (s) = 3 × 10⁸ m/s

Substituting their values,

d = (3 × 10⁸) × 300

d = 9 × 10¹⁰

Therefore, the distance of the  spaceship from the ground  station is 9 × 10¹⁰.