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| <h2>Solutions of Savchenko Problems in Physics</h2> | | <h2>Solutions of Savchenko Problems in Physics</h2> |
| <p class="author"> | | <p class="author"> |
| Aliaksandr Melnichenka <br/> | | Aliaksandr Melnichenka <br/> |
| October 2023 | | October 2023 |
| </p> | | </p> |
| </header> | | </header> |
| | | |
| <h3 id="back-link"><a href="../../#1.2">$\leftarrow$Back</a></h3> | | <h3 id="back-link"><a href="../../#1.2">$\leftarrow$Back</a></h3> |
| | | |
| <h3> Statement </h3> | | <h3> Statement </h3> |
| <p> | | <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 $2$ $\frac{m}{s^2}$. | | $1.2.19.$ 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 $2$ $\frac{m}{s^2}$. |
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| <figcaption> | | <figcaption> |
| For problem $1.2.19$ | | For problem $1.2.19$ |
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| <p> | | <p> |
| </p> | | </p> |
| | | |
| <h3>Solution</h3> | | <h3>Solution</h3> |
| <p> | | <p> |
| Equation for equal accelerated motion | | Equation for equal accelerated motion |
| $$150 \text{ km/h}=0 \text{ km/h}+at_n$$ | | $$150 \text{ km/h}=0 \text{ km/h}+at_n$$ |
| Acceleration time from zero to full speed | | Acceleration time from zero to full speed |
| $$t_n=20.83 \text{ s}$$ | | $$t_n=20.83 \text{ s}$$ |
| During this time, the speedometer arrow will travel the distance | | During this time, the speedometer arrow will travel the distance |
| $$15 \text{ sm}=ut_n$$ | | $$15 \text{ sm}=ut_n$$ |
| making the speed equal to | | making the speed equal to |
| $$u=0.72 \text{ sm/s}$$ | | $$u=0.72 \text{ sm/s}$$ |
| </p> | | </p> |
| | | |
| <h4>Answer</h4> | | <h4>Answer</h4> |
