Highly selective Backlog Qs for JEE MainPhysicsMotion in Two Dimensions
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 in time t , where t is:
Options
- Aa v^2+v₁^2
- Ba v+v₁
- Ca v-v₁
- Da^2 v^2-v₁^2
Correct answer
D. a^2 v^2-v₁^2
Step-by-step solution
If boy (A ) catches boy (B ) in time (t ), ( aligned & ( vt )^2= ( v ₁ t )^2+ a ^2 & t ^2= a ^2 v ^2- v ₁^2 & t = a v ^2- v ₁^2 aligned )