A free-falling body flew past point A with velocity v_A. How fast will it fly past point B, which is h below A?

Solutions of Savchenko Problems in Physics

Aliaksandr Melnichenka
October 2023

    <h3 id="back-link"><a href="/#1.3">$\leftarrow$Back</a></h3>

    <h3> Statement </h3>
    <p>
        $1.3.4.$ A free-falling body flew past point $A$ with velocity $v_A$. How fast will it fly past point $B$, which is $h$ below $A$?
    </p>

    <h3>Solution</h3>
    <p>
        From the Law of Conservation of Energy:

$$\frac{mv_A^2}{2} + mgh =\frac{mv_B^2}{2}$$
Where,
$$\fbox{$v_B = \sqrt{v_A^2 + 2gh}$}$$

    </p>

    <h4>Answer</h4>
    <p>
        $$v_B = \sqrt{v_A^2 + 2gh}$$
    </p>


<footer class="row container">
  <br>
    <p>
        <small> © <strong>Savchenko Solutions</strong>, 2023-2024 <br></small>
    </p>
    <p>
        <small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> astrosander01@gmail.com <br></small>
    </p>
</footer>