Problem Statement:
The position vector of a particle is given by: r = 3t i + 2t2 j -2 k (m). Find its velocity and its acceleration.
Solution:
The velocity vector of the particle is the time derive of its position vector:
The derivative of a sum is the sum of the derivatives, therefore:
The SI (International System) unit of velocity is m/s.
The acceleration is defined as the derivative of the velocity:
The SI (International System) unit of acceleration is m/s2.
As you can see, the acceleration vector does not depend on time, so the motion of this particle is uniformly accelerated .
All the results of this problem are in units of the International System (SI).
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