The position of a particle travelling along x - axis is given by xt =

1.	The position of a particle travelling along x - axis is given by xt = t3 - 9 t2 + 6t where xt is in m and t is in second . Then 1) the particle does not come to rest at all.2) the particle comes to rest firstly at (3 - √7 ) s and then at (3 + √7) s3) the speed of the particle at t= 2s is 18 ms−14) the acceleration of the particle at t= 2s is 6 ms−2
Answer» The position of a particle travelling along x - axis is given by $x_{t}$ = $t^{3}$ - 9 $t^{2}$ + 6t where $x_{t}$ is in m and t is in second . Then 1) the particle does not come to rest at all. 2) the particle comes to rest firstly at (3 - $\sqrt{7}$ ) s and then at (3 + $\sqrt{7}$ ) s 3) the speed of the particle at t= 2s is 18 m $s^{- 1}$ 4) the acceleration of the particle at t= 2s is 6 m $s^{- 2}$

The position of a particle travelling along x - axis is given by xt = t3 - 9 t2 + 6t where xt is in m and t is in second . Then 1) the particle does not come to rest at all.2) the particle comes to rest firstly at (3 - √7 ) s and then at (3 + √7) s3) the speed of the particle at t= 2s is 18 ms−14) the acceleration of the particle at t= 2s is 6 ms−2

Answer»

The position of a particle travelling along x - axis is given by $x_{t}$ = $t^{3}$ - 9 $t^{2}$ + 6t where $x_{t}$ is in m and t is in second . Then

1) the particle does not come to rest at all.

2) the particle comes to rest firstly at (3 - $\sqrt{7}$ ) s and then at (3 + $\sqrt{7}$ ) s

3) the speed of the particle at t= 2s is 18 m $s^{- 1}$

4) the acceleration of the particle at t= 2s is 6 m $s^{- 2}$

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