The position of a particle as a function of time 𝑡, is given by x ( t ) = a t + b t 2 − c t 3 , where a, b and c are constants. When the particle attains zero acceleration, then its velocity will be a+b^2/c a+b^2/4c a+b^2/3c a+b^2/2c

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The position of a particle as a function of time 𝑡, is given by   x  (  t  )  =  a  t  +  b      t    2    −  c      t    3  , where a, b and c are constants. When the particle attains zero acceleration, then its velocity will be a+b^2/c a+b^2/4c a+b^2/3c a+b^2/2c

Lilia Nolan · Accepted Answer

v  =            d      x              d      t        ,     a  =            d      v              d      t          x  (  t  )  =  a  t  +  b      t    2    −  c      t    3      v  =            d      x              d      t        =  a  +  2  b  t  −  3  c      t    2      a  =            d      v              d      t        =  2  b  −  6  c  t    ∴  2  b  −  6  c  t  =  0    ⇒  t  =      b          3      c          v  =  a  +  2  b  (      b          3      c        )  −  3  c  (      b          3      c            )    2      v  =  a  +            b      2              3      c

The position of a particle as a function of time 𝑡, is given by x(t)=at+bt^2−ct^3, where a, b and c are constants. When the particle attains zero acceleration, then its velocity will be a+b^2/c a+b^2/4c a+b^2/3c a+b^2/2c

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