The position co-ordinates of a particle moving in a $3 D$ coordinate system is given by

$x = a \cos ω t$

$y = a \sin ω t$

and $z = a ω t$

The speed of the particle is:

Question

The position co-ordinates of a particle moving in a 3 D coordinate system is given by x = a cos ⁡ ω t y = a sin ⁡ ω t and z = a ω t The speed of the particle is:

TestHub · Accepted Answer

x = a cos ⁡ ω t y = a sin ⁡ ω t z = a ω t v x = - a ω sin ⁡ ω t v y = a ω cos ⁡ ω t v 2 = a ω v = v x 2 + v y 2 + v z 2 = - a ω sin ⁡ ω t 2 + a ω cos ⁡ ω t 2 + a ω 2 = a ω 2

Physics - Vectors Question with Solution | TestHub

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JEE Main 2028 (Class 11)