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Question:

The position coordinates of a particle moving in a 3-D coordinate system is given by x = a cosωt, y = a sinωt, and z = aωt. The speed of the particle is :

aω

√2aω

2aω

√3aω

Solution:

vx = −aωsinωt
vy = aωcosωt
vz = aω
→v = √v²x + v²y + v²z
v = √2aω