A $150m$ long train is moving with constant velocity of $12.5 m/s.$ If the equation of the motion of the train is $y=mx+c$, then find the value of $m$.

A $150m$ long train is moving with constant velocity of $12.5 m/s.$ Find time taken to cross a pole.

A $150 \mathrm{m}$ long train is moving with a constant velocity of $12.5 \mathrm{m}/\mathrm{s}$. If the time taken to cross the bridge of length $850 \mathrm{m}$ is $k$ seconds, then find the value of $k$?

A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring was measured each time shown in the following table.

$\begin{array}{|lcccc|}\hline \text{ Weight, }\left(\mathrm{kg}\right)& 2& 4& 5& 8\\ \text{ Length, }\left(\mathrm{cm}\right)& 3& 4& 4.5& 6\\ \hline\end{array}$ Draw a graph showing the results.

A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring was measured each time shown in the following table.

$\begin{array}{|lcccc|}\hline \text{ Weight }\left(\mathrm{kg}\right)& 2& 4& 5& 8\\ \text{ Length }\left(\mathrm{cm}\right)& 3& 4& 4.5& 6\\ \hline\end{array}$.

Find the equation relating the length of the spring to the weight on it.

A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring was measured each time shown in the following table.

$\begin{array}{|lcccc|}\hline \text{ Weight, }\left(\mathrm{kg}\right)& 2& 4& 5& 8\\ \text{ Length, }\left(\mathrm{cm}\right)& 3& 4& 4.5& 6\\ \hline\end{array}$

What is the actual length of the spring?

A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring measured each time is shown in the following table. 

If $x \mathrm{kg}$ weight should be added to the spring to stretch it to $9 \mathrm{cm}$ long, then find the value of $x$?

A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring was measured each time shown in the following table.

$\begin{array}{|lcccc|}\hline \text{ Weight, }\left(\mathrm{kg}\right)& 2& 4& 5& 8\\ \text{ Length, }\left(\mathrm{cm}\right)& 3& 4& 4.5& 6\\ \hline\end{array}$. How long will the spring be when $6$ kilograms of weight on it?

A family is using Liquefied petroleum gas (LPG) of weight $14.2$ kg for consumption. (Full weight $29.5$kg includes the empty cylinders tare weight of $15.3$kg.). If it is use with constant rate then it lasts for $24$ days. Then the new cylinder is replaced. Find the equation relating the quantity of gas in the cylinder to the days.