Question

Solve This; Mods And Stars..!

★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.


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Answer 1

Given :-

• The signal travels in a straight line, the distance between the spaceship and the ground station is equal to the total distance travelled by the signal.

To find :-

• The distance of the spaceship from the ground station.

solution :-

$:\implies\sf time \: taken = 5min = 5 \times 60s = 300s \\ \\ \\ \\:\implies\sf \: now \: speed \: of \: the \: signal \: = 3 \times {10}^{8}\frac{m}{s} \\ \\ \\ \\ :\implies\sf \: therefore \: distance = (3 \times {10}^{8} \frac{m}{s})\times 300s \\ \\ \\ \\ :\implies\sf \: 9 \times {10}^{10}meters$

so therefore The distance of the spaceship from the ground station is 9 × 10¹⁰ meters.

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Answer 2

Answer:

Given :-

• During an experiment, a single from a spaceship reached the ground station in five minutes.
• The signal travels at the speed light i.e, 3 × 10⁸ m/s.

To Find :-

• What is the distance of the spaceship from the ground station

Formula Used :-

$\clubsuit$ Distance Formula :

$\mapsto \sf\boxed{\bold{\pink{Distance =\: Speed \times Time}}}$

Solution :-

First, we have to convert the time minutes into seconds :

$\implies \sf Time =\: 5\: minutes$

$\implies \sf Time =\: 5 \times 60\: seconds\: \: \bigg\lgroup \sf\bold{\pink{1\: minutes =\: 60\: seconds}}\bigg\rgroup$

$\implies \sf\bold{\purple{Time =\: 300\: seconds}}$

Now, we have to find the distance of the spaceship from the ground station :

Given :

$\bigstar\: \: \bf{Speed =\: 3 \times 10^8\: m/s}$

$\bigstar\: \: \bf{Time =\: 300\: seconds}$

According to the question by using the formula we get,

$\longrightarrow \sf Distance =\: 3 \times 10^8 \times 300$

$\longrightarrow \sf Distance =\: 3 \times 300 \times 10^8$

$\longrightarrow \sf Distance =\: 900 \times 10^8$

$\longrightarrow \sf Distance =\: 9 \times 100 \times 10^8$

$\longrightarrow \sf Distance =\: 9 \times 10^{10}\: m$

${\small{\bold{\underline{\therefore\: The\: distance\: of\: the\: spaceship\: from\: the\: ground\: station\: is\: 9 \times 10^{10}\: m\: .}}}}$