As we know that the velocity at any instant is defined as slope of displacement time graph at that instant
so we will have
[tex]v = \frac{ds}{dt}[/tex]
now we will say
slope of the graph is also defined as
[tex]slope = tan\theta[/tex]
now on increasing the value of the slope we will have more steep graph
so more steep graph will have more value of theta
so for steep graph
[tex]\theta = large[/tex]
[tex]tan\theta = large[/tex]
so value of the velocity will be large at steep graph
