Question

Suppose a meteor is heading towards the earth at a straight line distance of 409km, y is coming at a speed of 2km/s if the meteor continues at this speed and all the way, how long would it take to reach planet Earth?​

Answer 1

Hello..!

The time the meteor will take to reach Earth will be approximately 3.4 minutes.

Journey duration

The duration time is given by the ratio between the distance traveled and the speed of displacement of the object, that is:

`\begin{gathered}\large\begin{array}{lr}\bf \red T = \frac{ \blue{d}}{ \blue{v}} \end{array}\\ormalsize\begin{cases}\bf{ \red{T}}\Rightarrow \textsf{ \green{Time }}\\\textbf{\red{d}}\Rightarrow \sf \green{Distance}\\\textbf{\red{v}}\Rightarrow \textsf{ \green{Speed}}\end{cases}\end{gathered}`

In the case of this problem, the time found will be in seconds, since the displacement speed is defined in km/s.

Applying the information in the formula:

`\sf\red{D} \orange{\longmapsto} \blue{409km}`

`\sf \red{V} \orange {\longmapsto} \blue{ 2km/s}`

`\begin{gathered}\begin{array}{l}\bf T=(409km)/(2km/s)\\\\\large\boxed{\bf T = 204.5~seconds}\\\\ \large\text{$\bf ou$}\\\\\bf T = 204.5 / 60\\\large\boxed{\bf T \approx 3{,}4~minutes}\end{array} \end{gathered}`

Thus, the impact will be in 204.5 seconds or 3.4 minutes, approximately

`\begin{gathered}\rule{7cm}{0.01mm}\\\texttt{Good studies! :D}\\\rule{7cm}{0.01mm}\end{gathered}`