NEET and AIPMT NEET Physics Motion in A Plane MCQ Questions Solved


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(2)

 

        

 Let time to reach P from A be t    H=12gt2      t=2HgTime to reach C from P be t'    H2=12gt'2     t'=Hg= 2H2g= t2So total time to go from A to C     t+t'= t+t2            = t 1+12

 

 

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Initially

       

Using relative motion conceptVB, A = VB-VA

tanθ=VBVA=1θ=45°

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(1)

 

                

Time to go from A to B = tAC= Horizontal displacement in time t     = ucos60° tAC= ut2In right-angled ABC        AC = AB cos 30°        AB = ACcos 30°= ut3

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(A)

At any instant,

                

At any general point P(x,y)In y-direction, uy2=usinθ2-2gyIn x-direction, ux= ucosθ

Total K.E. = 12 muy2+12mux2                   = m2usinθ2-2gy+ucosθ2K.E. = m2u2-2gy            sin2θ+cos2θ=1is of the form y'=mx+c  .................Equation of Straight linewhere y'=K.E.            x=y

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