Q.

The equation of motion of a point in space is x=2t, y=−4t,z=4t, where ‘t’ is measured in hours and the coordinates of moving point in kilometers. The distance of the point from the starting point O (0,0,0) at the end of 10hours is

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a

20 km

b

40 km

c

60 km

d

55 km

answer is C.

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Detailed Solution

OP=4t2+16t2+16t2t=10hors
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The equation of motion of a point in space is x=2t, y=−4t,z=4t, where ‘t’ is measured in hours and the coordinates of moving point in kilometers. The distance of the point from the starting point O (0,0,0) at the end of 10hours is