Question

how slope of velocity time graph gives acceleration

Answer 1

first off all what is slope???
let y=f (x)
let me make u to feel slope in this graph
with respect to this function slope can be defined as rate of variation of y with respect to x.. from this we came to know that x is independent.. where y is dependent on x... in science for conviency we always compair a physical quantity with respect to time.. as your question.. we are considering velocity as function of time.as we defined slope... above.. we can say rate of change of velocity (independent quantity) respect to time(dependent quantity ).. mean accereation

Answer 2

hi friend,


slope of any graph is given by y2-y1/x2-x1



since the graph is of velocity -time graph... velocity is taken on y-axis and time is taken on the x-axis


so the slope of velocity time graph is change in velocity/change in time which is nothing but acceleration. ...




I hope this will help u :)