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How do you construct position graph velocity and graph and acceleration timetables and graph all three cases of free fall?
Wiki User
∙ 14y ago
By seeing the basic deifinition v=ds/st and a=dv/dt, so for a free fall of a body the acceleration of the body remains constant its graph will straight line parallel to the time axis, velocity graph will be one degree higher as it is obtained by integrating acceleration, hence its graph will be one degree higher and will be inclined at some angle and the graph of displacement will be still one degree higher (i.e. parabola)
notes: 1) area under the velocity time diagram for a given time interval is equal to the displacement over the interval 2) similar area under acc time diagram gives velocity over that period.
On earth, the acceleration due to gravity is a constant 9.8 m/s2 so a graph of acceleration vs time would have the equation a = 9.8 m/s2. As said above, the graph of acc. vs t would be a horizontal line (zero slope) with a y-intercept of 9.8 m/s2. The area under this line is a rectangle with a width, t, and a height of 9.8 m/s2, so change in velocity is given by delta v = (9.8m/s2) t. The area under this line is a triangle with a height of delta v and a base of t, so the equation for change in position or displacement is delta x = 1/2 (delta v)(t) or delta x = (4.9 m/s2)t2
If you know the equation of the displacement vs time graph for freefall (delta x = 1/2 g t2 where g=9,8 m/s2), get the graph by plotting delta x for various times. From that graph, find the slope of the tangent to the curve (A TI-83 calculator can do this) at various times. Plotting slope of tangent vs time gives you a velocity vs time graph. Plotting the slope of the velocity/time graph vs time gives you the acceleration vs time graph.
Wiki User
∙ 14y ago
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What information can be learned from a position-time graph and from a speed-time graph?
A position time graph can show you velocity. As time changes, so does position, and the velocity of the object can be determined. For a speed time graph, you can derive acceleration. As time changes, so does velocity, and the acceleration of the object can be determined.If you are plotting velocity (speed) versus time, the slope is the acceleration.
What does the vestibule of the ear detect?
orientation of the head. static position, velocity, acceleration and direction.
What is a quantity that is specified by size and direction?
. Velocity Acceleration
Why is acceleration zero when the body is moving with a constant velocity?
Acceleration is the CHANGE in velocity; you're assuming CONSTANT velocity. So the acceleration is zero.
What is acceleration multiplied by time?
Since acceleration is defined as change of velocity divide by time, it has units of (velocity / time). acceleration x time = (velocity / time) x time = velocity
What is aceleration velocity?
"Acceleration velocity" is a meaningless phrase. "Velocity" is the time rate of change of position. "Acceleration" is the time rate of change of velocity.
An object traveling at a constant 20 miles per second in a circular path is changing what?
This object is changing its position, its velocity, and its acceleration.This object is changing its position, its velocity, and its acceleration.This object is changing its position, its velocity, and its acceleration.This object is changing its position, its velocity, and its acceleration.
What are acceleration and velocity?
'Velocity' means the rate at which position changes, and the direction in which it changes. 'Acceleration' means the rate at which velocity changes, and the direction in which it changes.
What is the difference between acceleration and velocity?
-- 'Velocity' is the rate at which position is changing, and the direction of the change. -- 'Acceleration' is the rate at which velocity is changing, and the direction of the change.
What is rate of acceleration?
The rate of change of velocity. (As velocity is the rate of change of position.)
Is acceleration a change in the position of an object?
Yes. Acceleration is a change in velocity. As velocity is a vector (direction and speed) changing either the speed or direction will change the velocity and thus be an acceleration (or decelleration)
Can you have velocity without acceleration?
Yes, a body can have aceleration without velocity. Consider sin x the position; cos x is the velocity and -sin x is the acceleration. Here the acceleration negative when x=90 degrees and the velocity is zero at 90 degrees.
What is velocity's acceleration?
Velocity is the rate of change of position - i.e., the derivative of position with respect to time.Acceleration is the rate of change of velocity - i.e., the second derivative of position with respect to time.
What is velocity acceleration?
Velocity is the rate of change of position - i.e., the derivative of position with respect to time.Acceleration is the rate of change of velocity - i.e., the second derivative of position with respect to time.
How is motion similar to acceleration?
If we replace "motion" with a similar term called "velocity", both are rates of change:* Velocity is the rate of change of position (the derivative of the position, with respect to time). * Acceleration is the rate of change of velocity (that makes it the second derivative of the position, with respect to time).
What information can be learned from a position-time graph and from a speed-time graph?
A position time graph can show you velocity. As time changes, so does position, and the velocity of the object can be determined. For a speed time graph, you can derive acceleration. As time changes, so does velocity, and the acceleration of the object can be determined.If you are plotting velocity (speed) versus time, the slope is the acceleration.
What are the relationships between position velocity acceleration and time?
Velocity is the change in position r over time t; v= dr/dt= r/t. Acceleration is the second derivative of position a = dv/dt = d2r/t2
