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:

Step-by-step solution

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