91Ó°ÊÓ

The velocity is the ratio of the displacement traveled to the time taken to travel that displacement.

If we draw a graph of displacement and time, we get a curve,

At any point, if we take the slope of the graph, it will give the value of velocity.

(a) Here, we can see that at point a, the slope of tangent to point a is maximum.

Hence it can be said that the value ofvelocity is maximum at A.

As we go from a to b, the slope value decreases continuously.

Hence by watching the slope of the graph, it can be said that whether the velocity will increase or decrease.

Slop is decreasing

So if we plot a graph of velocity versus time, we can answer the remaining questions.

V = slope

V = tan$\mathbf{θ}$

In addition, the tangent's angle on the graph is dropping. As a result, the slope will decrease. It indicates that the particle's velocity is decreasing.

Velocity versus time graph

b)It can be seen from the accompanying graph of instantaneous velocity vs. time that thevelocity is maximum at t_a.

c)It can be seen from the preceding graph of instantaneous velocity vs. time that thevelocity is 0 at the t_d.

d)It can be seen from the preceding graph of instantaneous velocity vs. time that thevelocity is negative at that t_e.