The position of the particle is vector r=(a costheta t) + (sin theta t

1.	The position of the particle is vector r=(a costheta t) + (sin theta t)
Answer» If a POSITION vector is given then you can find it's VELOCITY but simply DIFFERENTIATING it with respect to time. You have time (t) in the position vector. Theta=© ; r= a Cos(©t) i + a SIN(©t) j ; (dr/dt)= V (velocity); V= a [ {-Sin(©t) ©} + {Cos(©t) ©} ] ; V = a© {Cos(©t) — Sin(©*t)} ; Velocity will be

The position of the particle is vector r=(a costheta t) + (sin theta t)

Answer»

If a POSITION vector is given then you can find it's VELOCITY but simply DIFFERENTIATING it with respect to time. You have time (t) in the position vector.

Theta=© ;

r= a Cos(©*t) i + a SIN(©*t) j ;

(dr/dt)= V (velocity);

V= a [ {-Sin(©*t) * ©} + {Cos(©*t) * ©} ] ;

V = a*© {Cos(©*t) — Sin(©*t)} ;

Velocity will be

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The position of the particle is vector r=(a costheta t) + (sin theta t)

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