Question

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
ms-​

Answer 1

Proper question: 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 × 10⁸ m/s

Provided that:

• Time = 5 minutes
• Speed = 3 x 10⁸ m/s

To calculate:

• The distance

Solution:

• The distance = 9 × 10¹⁰

Using concept:

• Formula to calculate distance
• Formula to convert min into s

Using formula:

• Distance = Speed × Time
• 1 minute = 60 seconds

Required solution:

~ Firstly let us convert minutes into seconds by using suitable formula!

$:\implies \sf 1 \: minute \: = 60 \: seconds \\ \\ :\implies \sf 5 \: minutes \: = 5 \times 60 \: seconds \\ \\ :\implies \sf 5 \: minutes \: = 300 \: seconds \\ \\ {\pmb{\sf{Henceforth, \: converted!}}}$

~ Now let's calculate distance!

$:\implies \sf Distance \: = Speed \times Time \\ \\ :\implies \sf Distance \: = 3 \times 10^8 \times 300 \\ \\ :\implies \sf Distance \: = 900 \times 10^8 \\ \\ :\implies \sf Distance \: = 9 \times 10 \times 10 \times 10^8 \\ \\ :\implies \sf Distance \: = 9 \times 10^{10} \: metres \\ \\ {\pmb{\sf{Henceforth, \: solved!}}}$