The distance travelled by a particle starting from rest and moving with an acceleration 4 3 ~ms ⁻² , in the third second is

Step-by-step solution

Distance travelled by the particle in n th second is S_ n t h =u+ 1 2 a(2 n-1) where u is initial speed and a is acceleration of the particle. Here, n=3, u=0, a= 4 3 ~m / s ^2 aligned S_ 3 rd & =0+ 1 2 4 3 (2 3-1) & = 4 6 5 & = 10 3 ~m aligned Alternative : Distance travelled in the 3rd second = distance travelled in 3 ~s - distance travelled in 2 ~s As, u=0 , S_ (3 rd s) = 1 2 a 3^2- 1 2 a 2^2= 1 2 a 5 Given a= 4 3 ~ms ⁻² S_ (3 rd s) = 1 2 4 3 5= 10 3 ~m