A bird is flying in a straight line with velocity vector 10î + 6ĵ + k̂, measured in km/hr. If starting point is (1, 2, 3), how much time does it to take to reach a point in space that is 13 meter high from the ground?
The height is the z-coordinate. It starts at 3 m and must reach 13 m, so it must rise 10 m.
The vertical velocity component is 1 km/h = 1000 m per 3600 s.
Time = \(\frac{10}{1000} \times 3600 = 36\) seconds
Answer: (C) 36 seconds
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