To understand the meaning of the variables that appear in the equations for one-dimensional kinematics with constant acceleration.
Motion with a constant, nonzero acceleration is not uncommon in the world around us. Falling (or thrown) objects and cars starting and stopping approximate this type of motion. It is also the type of motion most frequently involved in introductory kinematics problems.
The kinematic equations for such motion can be written as
x(t)=xi+vit+12at2
,
v(t)=vi+at
,
where the symbols are defined as follows:
x(t)
is the position of the particle;
xi
is the initial position of the particle;
v(t)
is the velocity of the particle;
vi
is the initial velocity of the particle;
a
is the acceleration of the particle.
The quantity represented by x
is a function of time (i.e., is not constant).
The quantity represented by xi
is a function of time (i.e., is not constant).
true
false
The quantity represented by vi
is a function of time (i.e., is not constant).
Which of the given equations is not an explicit function of t
and is therefore useful when you don't know or don't need the time?
A particle moves with constant acceleration a
. The expression vi+at
represents the particle's velocity at what instant in time?