Ch. 02 Motion Graphs
fig area of a rectangle (i.e if trying to find area under the curve of a velocity-time or acceleration-time graph)
A = lw -where l represents the length of the rectangular shape usually the horizontal axis value and -w represents its width, usually the vertical axis value.
fig area of a triangle (i.e if trying to find area under the curve of a velocity-time or acceleration-time graph)
A = ½bh -where b represents the base of the triangular shape usually the horizontal axis value and - h represents its height, usually the vertical axis value.
the tangent line
For any given point on the curve on a distance-time or displacement-time graph there is a line, called the tangent line that intersects the curve at one point. Calculating slope of the tangent would result in an instantaneous value for the property needed.
kinematics
The branch of physics associated with the description of motion
The slope on a graph is defined as
The slope on a graph is defined as
on a position-time graph Which section (or type of line) represents accelerated motion?
a curved line bc the slope is not constant and changing slope means changing speed and changing speed means changing acceleration
Many times a position-time graph is referred to as
a distance-time graph.
on a position-time graph Which section shows the object at rest
a horizontal line bc its horizontal so distance isn't changing
on a position-time graph Which section represents a constant negative velocity?what doe this mean?
a line with it is a negative slope it is slowing down.
on a aq-t graph, if area above the +x axis is greater than area below + x axis, then what would acceleration be
a non-0 value bc that means tht the obj sped up more than it slowed down
The difference between A velocity-time and a speed-time graph is that
a speed-time graph is located in the first quadrant whereas a velocity-time graph may cross into the fourth quadrant if the direction changes during the time interval plotted.
Any two points on a graph can be connected by
a straight line.
The area under an acceleration-time graph can be used to construct
a velocity-time graph.
as distance increases during a motion in a position-time graph , the slope is?
always positive.
Calculating slope of the tangent (tangent line) would result in
an instantaneous value for the property needed.
A distance-time or displacement-time graph can be used to find ?
an object's speed or velocity, respectively, by calculating the slope between two time intervals.
A position-time graph can be used to determine
an object's velocity and position by plotting time on the horizontal axis and position of the vertical.
where is there instantaneous speed on a graph?
anywhere where the line forms a corner
how to find change in velocity (∆v)on a a-t graph
area under the curve
accelerated motion.
changing slopes indicate changing speeds (or velocities)on distance-time or displacement-time graph
how do u kno if the obj ever experienced a constant speed on a distance time graph?
constant speed at the origin when it = at rest at 0 bc 0 is a constant speed
on a distance-time or displacement-time graph constant slopes indicate
constant speeds (or velocities) while changing slopes indicate changing speeds (or velocities) also known as accelerated motion.
what does constant slope mean on a displacement- time graph?
constant velocity
how to find how far you moved on a v-t graph
d=vᵢt + ½∆vt = d=½∆vt= distance traveled= area under the curve
how do u kno if the object stop moving on a distance time graph?
horizontal line shows that the distance remains the same as time increases. slope=0 = 0 speed= not moving
how do u kno if the object ever travel at a constant speed on a distance time graph?
if the slope is constant at any point, the speed is constant bc slope on a d-t graph = speed
how to fig if an object ever at rest on a distance time graph?
its at rest at the origin
the slope of a position-time graph is the
objects speed
For the cases of constant velocity and constant acceleration, these areas are what shape
rectangular and triangular.
when motion stops in a position-time graph, the graph becomes a
straight line parallel to the time axis so that distance is a constant value.
The area under the velocity-time graph, between the vertical axis at each time point, is equal to
the distance traveled by the object in that time.
distance is a positive scalar quantity therefore position-time graphs occur in which quadrant?
the first quadrant
The slope of a velocity-time graph is
the object's acceleration.
fig out if the object ever accelerated on a distance time graph?
the slope is not constant(is a curved line) and is changing bc a changing slope means changing speed and changing speed means changing acceleration.
motion graph
tool used to show the relationships between position, speed, and time
Straight line slope on A velocity-time or a speed-time graph equals
uniform acceleration.
Slope equals wat on a displacement- time graph?
velocity
when is a line curved on a distance-time or displacement-time graph
when it is changing slope/ accelerating
when is it said an obj is moving backwards on a displacement time graph
when moving in the opposite direction or "crossing" the +x-axis and continuing into the fourth quadrant.
find acceleration on a v-t graph
∆v/t
