0
How do you construct position graph velocity and graph and acceleration timetables and graph all three cases of free fall?
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.
What else can I help you with?
Is The slope on a position-time graph is representative of the acceleration of the object?
No, the slope on a position-time graph represents the object's velocity, not acceleration. Acceleration would be represented by the slope of the velocity-time graph.
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.
Why is acceleration a factor in force and not velocity?
Acceleration is a factor in force because force is defined as the rate of change of momentum, which involves mass and acceleration. Velocity is the rate of change of position, and on its own does not impact force in the same way acceleration does. Acceleration directly affects the change in an object's velocity, which in turn influences the force required to produce that change.
How can you find final position without knowing initial velocity?
You can find the final position by using the acceleration and time. If you know the initial velocity and acceleration, you can calculate the final position using the kinematic equation ( x = x_0 + v_0t + \frac{1}{2}at^2 ), where ( x_0 ) is the initial position, ( v_0 ) is the initial velocity, ( a ) is the acceleration, ( t ) is the time, and ( x ) is the final position.
What does the vestibule of the ear detect?
orientation of the head. static position, velocity, acceleration and direction.
How are position, velocity, and acceleration related?
Position, velocity, and acceleration are related in that velocity is the rate of change of position, and acceleration is the rate of change of velocity. In other words, acceleration is the second derivative of position, and velocity is the first derivative of position.
Is velocity the same as acceleration?
No, velocity and acceleration are not the same. Velocity is the rate of change of an object's position, while acceleration is the rate of change of an object's velocity.
What is the relationship between position, velocity, and acceleration in physics?
In physics, position, velocity, and acceleration are related as follows: Position is the location of an object at a specific point in time. Velocity is the rate at which the position of an object changes over time. Acceleration is the rate at which the velocity of an object changes over time. In simpler terms, position tells us where an object is, velocity tells us how fast it is moving, and acceleration tells us how quickly its speed is changing.
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 the relationships between position velocity acceleration and time?
Position is the location of an object at a specific time, velocity is the rate of change of position with respect to time, and acceleration is the rate of change of velocity with respect to time. These quantities are related through calculus: velocity is the derivative of position with respect to time, and acceleration is the derivative of velocity with respect to time.
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 an object changes its position, while acceleration is the rate at which the velocity of an object changes. In other words, velocity is the speed and direction of motion, whereas acceleration is the change in speed or direction of motion.
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 rate of acceleration?
The rate of change of velocity. (As velocity is the rate of change of position.)
What is aceleration velocity?
Acceleration is the rate of change of velocity. It can be positive (speeding up), negative (slowing down), or zero (constant speed). Velocity is the rate of change of an object's position with respect to time.
Is velocity the same as acceleration?
No, velocity and acceleration are not the same. Velocity is the rate of change of an object's position with respect to time, while acceleration is the rate of change of an object's velocity with respect to time. In other words, acceleration measures how quickly an object's velocity is changing.
How can you find velocity from acceleration?
To find velocity from acceleration, you can integrate the acceleration function with respect to time. This will give you the velocity function, which represents the rate of change of an object's position over time.
