Question

The velocity of a particle is v = v₀ + gt + ft² . If its position is x = 0 at t = 0, then its displacement after unit time (t = 1) is

(a) v₀ + g/2 + f 

(b) v₀ + 2g + 3f

(c) v₀ + g/2 + f/3 

(d) v₀ + g + f

Answer 1

(c) : Given : velocity v = v ₀ + gt + ft ²

where C is the constant of integration