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Two highways are perpendicular to each other imagine them to be along the x-axis and the y-axis, respectively. At the instant `t = 0`, a police car P is at a distance `d = 400 m` from the intersection and moving at speed of `8 km//h` towards it at a speed of `60 km//h` along they y-axis. The minimum distance between the cars isA. `300 m`B. `240 m`C. `180 m`D. `120 m` |
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Answer» Correct Answer - B If s be their separation at time t then, `s^(2) = (0.4-80t)^(2) + (0.6-60t)^(2)` where t is in hour, s in km. Minimise s using calculus. |
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