The displacement (in metre) of a particle varies with time (in second) according to the equation y =- (2)/(3) t ^(2) + 16 t +2.How long does the particle take to come to rest ?

The displacement (in metre) of a particle varies with time (in second)

1.	The displacement (in metre) of a particle varies with time (in second) according to the equation y =- (2)/(3) t ^(2) + 16 t +2.How long does the particle take to come to rest ?
Answer» 12 s 8 s 16 s 10 s Solution :The DISPLACEMENT of a PARTICLE `y =- 2/3 t ^(2) + 16 t +2` `THEREFORE` Velocity `U = (dy)/(DT) = (d)/(dt) [- (2)/(3) t ^(2) + 16 t +2]` `therefore v = -(4)/(3) t + 16` When a particle is at rest, v =0 `therefore 0=- (4)/(3) t + 16` `therefore 4/3 t = 16` `therefore t = 12s.`