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+ <meta name="description" content="The speedometer scale is 15 cm long and measures the vehicle speed from zero to 150 \frac{km}{h}. Find the speed of the speedometer indicator if the car is moving at an acceleration of 2 \frac{m}{s^2}.">
+ <meta name="author" content="Aliaksandr Melnichenka">
+ <meta name="date" content="2023-10" scheme="YYYY-MM">
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+ <title>The speedometer scale is 15 cm long and measures the vehicle speed from zero to 150 \frac{km}{h}. Find the speed of the speedometer indicator if the car is moving at an acceleration of 2 \frac{m}{s^2}.</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>
+ $1.2.19.$ The speedometer scale is $15$ cm long and measures the vehicle speed from zero to $150$ $\frac{km}{h}$. Find the speed of the speedometer indicator if the car is moving at an acceleration of $2$ $\frac{m}{s^2}$.
+</p>
+<center>
+ <figure>
+ <img src="1.2.19.png"
+ loading="lazy" width="230" />
+ <figcaption>
+ For problem $1.2.19$
+ </figcaption>
+ </figure>
+</center>
+<p>
+ </p>
+
+ <h3>Solution</h3>
+ <p>
+ Equation for equal accelerated motion
+$$150 \text{ km/h}=0 \text{ km/h}+at_n$$
+Acceleration time from zero to full speed
+$$t_n=20.83 \text{ s}$$
+During this time, the speedometer arrow will travel the distance
+$$15 \text{ sm}=ut_n$$
+making the speed equal to
+$$u=0.72 \text{ sm/s}$$
+ </p>
+
+ <h4>Answer</h4>
+ <p>
+ $$v = 0.72 \text{ sm/s}$$
+ </p>
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