Question

The instantaneous velocity of a particle moving in a straight line is given as v = αt + βt² , where α and β are constants. The distance travelled by the particle between 1s and 2s is :

(1) 3α + 7α

(2) \(\cfrac32\alpha+\cfrac73\beta\)

(3) \(\cfrac{\alpha}2+\cfrac{\beta}3\)

(4) \(\cfrac32\alpha+\cfrac72\beta\)

Answer 1

Correct option is (2) \(\cfrac32\alpha+\cfrac73\beta\) 

V = αt + βt²