Train

The train is running at speeds of 96 km/h. From the beginning of braking to full stop train run for 3.3 minutes. If the train slows the braking equally, calculate the distance from the location where you need to start to brake.

Correct answer:

s =  2640 m

Step-by-step explanation:

$$\begin{gathered} t=3.3min=198s \\ a={\displaystyle \frac{\mathrm{\Delta }v}{\mathrm{\Delta }t}}={\displaystyle \frac{96\mathrm{/}3.6m\mathrm{/}s}{3.3\cdot 60s}}=0.1347m\mathrm{/}{s}^2 \\ s={\displaystyle \frac{1}{2}}a{t}^2={\displaystyle \frac{1}{2}}\cdot 0.1347\cdot 198^2=2640\text{ m} \end{gathered}$$

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