question_answer

A car moving with a speed of 50 km/hr is brought to rest in 6m by applying brakes. If the same car is moving at a speed of\[\text{100km}/\text{hr}\], in what distance can it be brought to halt with same braking force?

Answer:

\[\frac{{{S}_{1}}}{{{S}_{2}}}=\frac{V_{1}^{2}-u_{1}^{2}}{V_{2}^{2}-u_{2}^{2}}\] \[\Rightarrow \frac{6}{x}=\frac{{{0}^{2}}-{{50}^{2}}}{{{0}^{2}}-{{100}^{2}}}\Rightarrow \frac{6\times 100\times 100}{50\times 50}=24m\]