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The position of a particle as a function of time t, is given by x(t)=at+bt2−ct3 where a, b, c are constants.  When the particle attains zero acceleration, then its velocity will be :

(a)

a +

(b)

 a +

(c)

a +

(d)

 a +


Question ID - 51289 | Toppr Answer

The position of a particle as a function of time t, is given by x(t)=at+bt2−ct3 where a, b, c are constants.  When the particle attains zero acceleration, then its velocity will be :

(a)

a +

(b)

 a +

(c)

a +

(d)

 a +

1 Answer - 5876 Votes

3537

Answer Key : (b) -

x=at+bt2−ct3

=a+2bt−3ct2

=2b−6ct

For =0  t=+

∴       v= =a+2b −3c

⇒ v = + +a = a+



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