Answer:
Expression of displacement will be [tex]s(t)=\int_{t_0}^{t}v(t)dt[/tex]
Explanation:
Let the velocity [tex]v(t)[/tex] is function of time means when time changes then velocity also changes
We have to find the expression of definite integral to find the displacement
Displacement is ti,e integral of velocity in given period of time
Let the object starts moving at time [tex]t=t_0[/tex] and move to the time [tex]t=t[/tex]
Then displacement is give by
[tex]s(t)=\int_{t_0}^{t}v(t)dt[/tex]