Show that the instantaneous speed of a particle is equal to the slope of the distance-time graph.

Show that the instantaneous speed of a particle is equal to the slope

1.	Show that the instantaneous speed of a particle is equal to the slope of the distance-time graph.
Answer» SOLUTION :The slope of the distance -TIME GRAPH is `(ds)/(DT)`. Again if `Delta`t is the time in which the DISPLACEMENT of the particle is `Delta`s, then speed v `= (Deltas)/(Deltat)` Now, if `Delta t to 0`, instantaneous speed = `underset(Deltat to0)"lim"(Deltas)/(Deltat)=(ds)/(dt)`