RECTILINEAR KINEMATICS : CONTINUOUS MOTION
Find the kinematic quantities(position, displacement, velocity,and acceleration) of a particletraveling along a straight path.
APPLICATIONS
The motion of largeobjects, such as rockets,airplanes, or cars, canoften be analyzed as if theywere particles.Why?If we measure the altitudeof this rocket as afunction of time, how can
we determine its velocity
and acceleration?
APPLICATIONS
(continued)
A sports car travels along a straight road.Can we treat the car as a particle?If the car accelerates at a constant rate, how can wedetermine its position and velocity at some instant?
The position of the particle at any instant, relative to the origin, O, is defined by the position vector
r
, or the scalar s. Scalar s can be positive or negative. Typical units for
r
and s are meters (m) or feet (ft).The displacement of the particle is defined as its change in position.
r
, or the scalar s. Scalar s can be positive or negative. Typical units for
r
and s are meters (m) or feet (ft).The displacement of the particle is defined as its change in position.
The total distance traveled by the particle, St
, is a positive scalar that represents the total length of the path over which the particle travels.
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