If the velocity of a particle is v = At + Bt², where

If the velocity of a particle is v = At + Bt², where A and B are constants, then the distance travelled by it between 1s and 2s is :

Given : Velocity
V = At + Bt² ⇒ dx/dt = At + Bt²
By integrating we get distance travelled

Distance travelled by the particle between 1s and 2s

X =	A	(2² - 1²) +	B	(2³ - 1³) =	3A	+	7B
	2		3		2		3