Why is the operation of limit(delta t--0)of quantity used to calculate the instantaneous velocity?

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x

X = (4 t^{2} + 3 t + 7) μ

t = 2 S

^{2}

The displacement of an object is "s" is given as a function of the time "t" .

If; "s"=5t²+9t, calculate the instantaneous velocity of object at "t"=0.

The displacement (in meter) of a particle moving along the x-axis is given $x = 18 t + 5 t^{2} .$ Calculate

(A) The instantaneous velocity at t = 2 sec

(B) Average velocity between t = 2 sec and t = 3 sec

t

s = 2 t + 5 t^{2} + 3 t^{3} .

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