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| <meta name="description" content="The initial positions and velocities of the two ships are shown in the figure. Ships move without acceleration. How do I find the smallest distance between them?"> | | <meta name="description" content="The initial positions and velocities of the two ships are shown in the figure. Ships move without acceleration. How do I find the smallest distance between them?"> |
| <meta name="author" content="Aliaksandr Melnichenka"> | | <meta name="author" content="Aliaksandr Melnichenka"> |
| <meta name="date" content="2023-10" scheme="YYYY-MM"> | | <meta name="date" content="2023-10" scheme="YYYY-MM"> |
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| <title>The initial positions and velocities of the two ships are shown in the figure. Ships move without acceleration. How do I find the smallest distance between them?</title> | | <title>The initial positions and velocities of the two ships are shown in the figure. Ships move without acceleration. How do I find the smallest distance between them?</title> |
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| <h3> Statement </h3> | | <h3> Statement </h3> |
| <p> | | <p> |
| $1.4.1.$ The initial positions and velocities of the two ships are shown in the figure. Ships move without acceleration. How do I find the smallest distance between them? | | $1.4.1.$ The initial positions and velocities of the two ships are shown in the figure. Ships move without acceleration. How do I find the smallest distance between them? |
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| <figcaption> | | <figcaption> |
| For problem $1.4.1$ | | For problem $1.4.1$ |
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| <h3>Solution</h3> | | <h3>Solution</h3> |
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| <p > | | <p > |
| In the reference frame of the second ship, the first one moves in a straight line along the vector $v_1 − v_2$. | | In the reference frame of the second ship, the first one moves in a straight line along the vector $v_1 − v_2$. |
| </p> | | </p> |
| <p > | | <p > |
| The perpendicular dropped onto this line from the location of the second ship will be the smallest distance. | | The perpendicular dropped onto this line from the location of the second ship will be the smallest distance. |
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