The displacement, velocity and acceleration of a particle have the same relationship in vector form as when motion is along a straight line:
Integration and differentiation are done in a natural way, with the direction vectors
and
being constant vectors.
Example:
The position vector,
of a particle at time
is given by
Find expressions for the acceleration and velocity of the particle.
Example
The acceleration vector,
of a particle at timeis given by
Find expressions for the velocity
and acceleration
of the particle, if
and
at
When
When