A particle starts moving from rest from the origin with constant acceleration of $$1$$ $$m/s2$$ and continues to move along $$X-axis$$. After sometime it starts moving with constant retardation of $$2$$ $$m/s2$$ and finally stops at a point. If the total distance traversed by the particle is $$12$$ m, its maximum velocity is

Question

A particle starts moving from rest from the origin with constant acceleration of $$1$$  $$m/s2$$ and continues to move along $$X-axis$$. After sometime it starts moving with constant retardation of $$2$$  $$m/s2$$ and finally stops at a point. If the total distance traversed by the particle is $$12$$ m, its maximum velocity is

Infinity Learn · Accepted Answer

$$(3)Vm2=0+2$$ × $$1$$×$$x1$$  ⇒   $$x1=Vm22and$$   $$0=$$  $$Vm2$$−$$2$$  ×$$2$$ ×$$x2$$  ⇒   $$x2=Vm24Now$$,   $$x1$$ $$+$$ $$x2$$ $$=12$$   ⇒    $$Vm22+Vm24=12$$   ⇒$$Vm=4m/s$$.

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