Asked by jake

How can i find the averagee veloity and speed for a postion time graph

Answers

Answered by engmath
velocity is the derivative of the position function or the slope of the line....So
Choose two points on the graph. Subtract the "x-coordinates" (change in position), subtract the "t-coordinates" (change in time) and divide the first by the second,
v/t
is the slope of the line and the average velocity
Answered by jake
i thought slope is the change in y over the change in x
Answered by engmath
yes you are correct.... I wrote the formula wrong
x/t instead of v/t
where x(position) is the dependent variable(y) and t is the independent variable(x)
sorry I know its confusing!! some people use s variable to represent the position
so:
delta s/delta t
where s(position) is the dependent variable(y-axis) and t is the independent variable(x-axis)
*where delta means change in s/change in t

Does that make more sense?


Answered by jake
thank you verymuch
Answered by jake
so would the average speed and velocity be the same thing
Answered by engmath
Your Welcome =D
Speed is the absolute value of velocity.
Velocity can be negative where as speed cannot. That is the only major difference but other than that they are the same!
Answered by bobpursley
This is all wrong.

Average Velocity is NOT the derivative.

Average Velocity defined= (positionfinal-positioninitial)/time

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