Question

velocity of an object is v=100-2t square. how much is its displacement between t=2sec,t=5sec

Answer 1

Given,
velocity v= 100 -2t²
We know that,
v= ds/dt
vdt =ds
ds= vdt
ds = (100-2t²).dt
Integrating both sides with limit t= 2 to t= 5,
Refer to attachment!