The velocity (v) of a particle starting from rest increases linearly withtime (t) as v=4 t , where v is in m s⁻¹ and t is in second. The distance covered by the particle in the first 4 seconds is

Step-by-step solution

The velocity of the particle is given by v =4 t , u =0 From the equation of motion aligned & v = u + at & 4 t = at a =4 ~m / s ^2 & ~S =4 t + 1 2 at ^2=0 t + 1 2 4 4^2 & ~S =32 ~m aligned