Acceleration is the measure of velocity change, mathematically it is expressed as where
is time,
is the velocity and
is the acceleration. Note that velocity is a vector quantity and therefore acceleration is a vector, too. Velocity, in turn, is the derivative of displacement
(also a vector quantity).
If the acceleration of a body is a constant vector, its velocity and displacement are collinear with the acceleration, so the movement is along a straight line. This line is suitable for projection as an axis. Denote the magnitude of the acceleration as the speed at
as
and let the starting position to be zero.
Integrating the equality we obtain
integrating
we obtain
This is the distance travelled since
The distance travelled between moments
and
is
No comments:
Post a Comment