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Motion In Straight Line

Question
CBSEENPH11026165

Two boys are standing at the ends A and B of a ground, where AB = a. The boy at B starts running in a direction perpendicular to AB with velocity v1 The boy at A starts running simultaneously with velocity v and catches the other boy in a time t, where t is 

  • av2 + v12

  • a2ν2  - ν12

  • aν -  ν1

  • aν + ν1

Solution

B.

a2ν2  - ν12

Distance covered by boy A in time t:-  AC= vt

Distance covered by boy B in time t
BC = ν1 t
Using Pythagoras theorem

Ac2  =  AB2 + BC2

⇒ ( νt )2  =  a2 +(  ν1t )2

⇒    a2   =   ν2 t2  - (ν1t)2

t2 ν2 - ν12 = a2            t = a2ν2 - ν12