The position of a particle moving along the X axis varies intme according to the

Question

The position of a particle moving along the X axis varies intme according to the expression X= 3t2, where x is inmeter and t is in second. evaluate its position A) at t=3.00 s B) at 3.00s +t C) Evaluate the limit of x/t as t approacheszero to find the velocity at t= 3.00s. The position of a particle moving along the X axis varies intme according to the expression X= 3t2, where x is inmeter and t is in second. evaluate its position A) at t=3.00 s B) at 3.00s +t C) Evaluate the limit of x/t as t approacheszero to find the velocity at t= 3.00s.

Explanation / Answer

           givne expression         X = 3 t2 at t = 3s A) position X = 3 (32 )                       = 27 m B) at 3 s + t          t = t2 - t1          t2    means   t =2s             t1 means t =1 s      so t = 3 s + (2-1)s          X = 3(42 )            =   48 m C) X /t =   6t      at t =3s       velocity   V = 18 m/s            =   48 m C) X /t =   6t      at t =3s       velocity   V = 18 m/s                

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