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+ <meta name="description" content="Draw a graph of coordinate versus time for a rectilinear motion that satisfies two conditions simultaneously: a. the average speed in the time interval from 2 to 6 s is 5 m/s; b. the maximum speed in the same interval is 15 m/s.">
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+ <title>Draw a graph of coordinate versus time for a rectilinear motion that satisfies two conditions simultaneously: a. the average speed in the time interval from 2 to 6 s is 5 m/s; b. the maximum speed in the same interval is 15 m/s.</title>
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+ <header style="text-align:center;">
+ <h2>Solutions of Savchenko Problems in Physics</h2>
+ <p class="author">
+ Aliaksandr Melnichenka <br/>
+ October 2023
+ </p>
+ </header>
+
+ <h3 id="back-link"><a href="../#1.2">$\leftarrow$Back</a></h3>
+
+ <h3> Statement </h3>
+ <p>
+ $1.2.4.$ Draw a graph of coordinate versus time for a rectilinear motion that satisfies two conditions simultaneously:
+
+a. the average speed in the time interval from $2$ to $6$ s is $5$ m/s;
+
+b. the maximum speed in the same interval is $15$ m/s.
+ </p>
+
+ <h3>Solution</h3>
+ <p>
+ It is necessary to choose such a dependence so that the derivative of the coordinate in time, aka velocity, obeys the conditions of the problem.
+</p>
+<p>
+ An example of such a function is shown at the bottom:
+</p>
+
+ <center>
+ <figure>
+ <img src="graph.svg" alt="1.2.4"
+ loading="lazy" width="450" />
+ </figure>
+ </center>
+
+<p>
+ The derivative of $x(t) = 2.5t^2-15t$ is equal to
+</p>
+<p style="text-align: center;">
+ $v(t) = 5t-15$
+</p>
+<p>
+ What satisfies the conditions of the problem.
+ </p>
+
+ <h4>Answer</h4>
+ <p>
+ Any graph with a coordinate change of $20$ m in the specified time and with the greatest “slope” of the tangent $15$ m/s
+ </p>
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