First slide

Introduction to 3-D Geometry

Question

The equation of motion of a point in space is $x = 2 t, y = - 4 t, z = 4 t,$ 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

Moderate

A

20 km
B

40 km
C

60 km
D

55 km

Solution

$O P = \sqrt{4 t^{2} + 16 t^{2} + 16 t^{2}}$
t=10hors

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