Position of a particle is x = t²/(t+1). Its instantaneous velocity at t=1 s is:

Question

G1 Physics · Accepted Answer

Using the quotient rule, v = [(2t)(t+1)−t²]/(t+1)² = (t²+2t)/(t+1)². At t=1, v = (1+2)/4 = 3/4 m s⁻¹.