velocity vs displacement graph represents what?

Asked by jchahat0 | 7th Mar, 2022, 09:26: PM

Expert Answer:

From velocity Vs displacement graph , we get a functional relationship between velocity and displacement
 
Let v(x) be the velocity at displacement x. From Velocity Vs displacement graph , we get
 
v(x) = f(x)
 
dv/dx   = df/dx = f '(x) = slope of velocity-displacement graph
 
begin mathsize 14px style fraction numerator d v over denominator d x end fraction space equals space fraction numerator d v divided by d t over denominator d x divided by d t end fraction space equals space f apostrophe left parenthesis x right parenthesis end style
begin mathsize 14px style fraction numerator d v over denominator d t end fraction space equals space v left parenthesis x right parenthesis space f apostrophe left parenthesis x right parenthesis space end style..............................(1)
LHS of above expression is acceleration .
 
Hence from the given velocity-displacement graph ,
we can construct acceleration-displacement graph using eqn.(1)
 
Hence we can say that velocity-displacement graph shows the variation of acceleration
with respect to displacement from the slope of velocity-displacement graph

Answered by Thiyagarajan K | 7th Mar, 2022, 10:49: PM

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