question_answer

On applying brakes, a car slows down from\[{{v}_{1}}\] to \[{{v}_{2}}\] as it travels a certain distance and from \[{{v}_{2}}\]to \[{{v}_{3}}\] as it travels an equal distance. The relation between the velocities is _____.

Answer:

                 \[V_{2}^{2}-V_{1}^{2}=-2ax\]                                    ………….(1) \[V_{3}^{2}-V_{2}^{2}=-2ax\]                                    …………. (2) equating (1) & (2), we get\[{{V}_{2}}=\sqrt{\frac{V_{2}^{2}+V_{3}^{2}}{2}}\]