A particle is moving on $$x-axis$$ such that its position varies with $$time(t)$$ $$asx=(t$$−$$2)(t$$−$$4)$$ : , where ‘t’ is in second and x is in meter. Let Sab denotes the distances travelled by the particle in the time intervalt $$=$$ a to t $$=$$ b . Then find the ratio of magnitudes $$S12S34=3$$ .

Question

A particle is moving on $$x-axis$$ such that its position varies with $$time(t)$$ $$asx=(t$$−$$2)(t$$−$$4)$$ : , where ‘t’ is in second and x is in meter. Let Sab  denotes the distances travelled by the particle in the time intervalt $$=$$ a to t $$=$$ b . Then find the ratio of  magnitudes $$S12S34=3$$  .

Infinity Learn · Accepted Answer

$$x=$$ (t-2) $$(t-4)x=t2-6t+8$$ $$v=dxdt=2t-6$$  and at $$t=0$$ $$velocity=$$  $$u=-6$$ $$ms-1$$ $$a=dvdt=$$ $$2$$ $$ms-2$$ so  $$s12=s2=$$ u $$+a(n-12)=-6+22-12=-3$$ m $$s34=-6+2(4-12)=1m$$ $$s12s34=3$$

Rectilinear Motion

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Rectilinear Motion

Remember concepts with our Masterclasses.

A particle is moving on x-axis such that its position varies with time(t) asx=(t−2)(t−4) : , where ‘t’ is in second and x is in meter. Let Sab denotes the distances travelled by the particle in the time intervalt = a to t = b . Then find the ratio of magnitudes S12S34=3 .

x= (t-2) (t-4)x=t2-6t+8 v=dxdt=2t-6 and at t=0 velocity= u=-6 ms-1 a=dvdt= 2 ms-2 so s12=s2= u +a(n-12)=-6+22-12=-3 m s34=-6+2(4-12)=1m s12s34=3

Ready to Test Your Skills?

free study material