two objects are 2.4*10^20 centimeters apart. a messages from one object travels to the other at a rate of 1.2*10^5 centimeters per second. how many seconds does it take the message to travel from one object to the other

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Answer:

2 · 10¹⁵ seconds

Step-by-step explanation:

1.2 · 10⁵

2.4 · 10²⁰

2.4 · 10²⁰ ÷ 1.2 · 10⁵

2 · 10²⁰ ⁻ ⁵

2 · 10¹⁵

It took the message 2 × 10¹⁵ seconds to travel from one object to the other.

To be able to solve this problem, we need to understand the relation between speed and distance.

What are Speed and Distance?

Speed is the change of an object's position with time, the distance is the space covered with a specified range of time.

The relation between Speed and distance can be expressed by using the relation:

[tex]\mathbf{speed = \dfrac {distance}{time}}[/tex]

From the parameters given:

  • Speed = 1.2 × 10⁵ cm/s
  • Distance = 2.4 × 10²⁰ cm
  • Time = (unknown)???

The time it took the message to travel from one object to the other can be determined by making time(t) the subject of the formula from the above equation:

i.e.

[tex]\mathbf {time = \dfrac{distance} {speed}}[/tex]

[tex]\mathbf {time = \dfrac{2.4 \times 10^{20}\ cm} {1.2 \times 10^5 \ cm/s}}[/tex]

time = 2 × 10¹⁵ seconds

Learn more about speed and distance here:

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