How do you calculate the instantaneous velocity from a velocity vs time graph? Eg. From the image below, Calculate the instantaneous velocity of V(4) at t(4),etc.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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How do you calculate the instantaneous velocity from a velocity vs time graph?

Eg. From the image below, Calculate the instantaneous velocity of V(4) at t(4),etc.

The graph titled "V(ave) vs. t" displays the relationship between average velocity (V(ave)) and time (t). The horizontal axis represents time (t) in seconds, ranging from 0.1 to 0.4. The vertical axis represents average velocity (V(ave)), with values ranging from 0 to 500.

The data points on the graph are plotted at four different times:

1. At t = 0.1, V(ave) is 122.1.
2. At t = 0.2, V(ave) is 213.7.
3. At t = 0.3, V(ave) is 311.7.
4. At t = 0.4, V(ave) is 416.2.

These points have been connected with a straight line, indicating a linear relationship between average velocity and time. The line of best fit is described by the equation: V(ave) = 980*t + 20.9, where 980 is the slope and 20.9 is the y-intercept.

This graph is useful in illustrating how average velocity increases linearly over time.
Transcribed Image Text:The graph titled "V(ave) vs. t" displays the relationship between average velocity (V(ave)) and time (t). The horizontal axis represents time (t) in seconds, ranging from 0.1 to 0.4. The vertical axis represents average velocity (V(ave)), with values ranging from 0 to 500. The data points on the graph are plotted at four different times: 1. At t = 0.1, V(ave) is 122.1. 2. At t = 0.2, V(ave) is 213.7. 3. At t = 0.3, V(ave) is 311.7. 4. At t = 0.4, V(ave) is 416.2. These points have been connected with a straight line, indicating a linear relationship between average velocity and time. The line of best fit is described by the equation: V(ave) = 980*t + 20.9, where 980 is the slope and 20.9 is the y-intercept. This graph is useful in illustrating how average velocity increases linearly over time.
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