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A plane is flying at a constant height a...

A plane is flying at a constant height and constant speed of `300sqrt2 m//s` along `(hati+hatj)/(sqrt2)` vector. At time t = 0, an observer in a car moving with velocity `30hatjm//s` is at `-300hatjm` and the plane is at 400 km. At this instant a stone is thrown from the plane vertically upwards w.rt. the plane and with a velocity of `10(30hati+27hatj+hatk) m//s` relative to the car. (take `g = 10 m//s^(2)`). The distance(in km) between the stone and the car when the stone hits ground is 4.73K. Find K (Take `sqrt2 = 1.41`)

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