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Irodov?Pushoam said:I have a problem in part c .
How am I supposed to solve it?
Is there any standard way to solve it?
One standard way could be using numerical methods. Newton's forward interpolation or Lagrange's interpolation will work.Pushoam said:Is there any standard way to solve it?
Thanks.TSny said:Edit: Can you interpret the average velocity as the slope of some line?]
cnh1995 said:Irodov?
Yes. Good work.Pushoam said:So, what I have to find out is the time moment at which the line whose slope defines the instantaneous velocity passes through the origin. This time moment turns out to be 16 s.
To calculate velocity from a position versus time graph, you will need to find the slope of the line on the graph. This can be done by selecting two points on the line and then using the slope formula (change in position/change in time) to determine the velocity at that point.
Yes, the direction of velocity can be determined by the slope of the line on the graph. If the slope is positive, the object is moving in a positive direction, and if the slope is negative, the object is moving in a negative direction. Additionally, the shape of the line can also indicate the direction of velocity. A straight line indicates constant velocity, while a curved line indicates changing velocity.
Average velocity is the overall rate of change in position over a given time interval, while instantaneous velocity is the rate of change in position at a specific moment in time. Average velocity is calculated by dividing the total change in position by the total change in time, while instantaneous velocity is calculated by finding the slope of the line tangent to the position versus time graph at a specific point.
Yes, you can calculate acceleration from a position versus time graph by finding the slope of the velocity versus time graph. Acceleration is the rate of change in velocity over time, so the slope of the velocity versus time graph will give you the acceleration at that point.
You can determine the distance traveled by an object from a position versus time graph by calculating the area under the curve. This can be done by breaking the graph into smaller sections, finding the area of each section (base x height), and then summing up all the areas to get the total distance traveled. Alternatively, you can also use the displacement formula (final position - initial position) to find the total distance traveled.