The position of a particle is r⃗ (t)=(3.0t2iˆ+5.0jˆ−6.0tkˆ)m. (a) Determine its velocity and acceleration as functions of time. (b) What are its velocity and acceleration at time t = 0?

Explanation:

It is given that,

The position of a particle is given by :

(a) Velocity of a particle is given by :

Putting values,

The acceleration of the particle is given by :

(b) At t = 0,

Velocity, v = 6k m/s

Acceleration, a = 6i m/s²

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