Q.
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 :
A) a/√(v² + v₁²)
B) √(a²/(v² − v₁²))
C) a/(v − v₁)
D) a/(v + v₁)
Explanation
[Solution from source] The catcher runs along the hypotenuse of a right triangle with legs a and v₁t: (vt)² = a² + (v₁t)², so t = √(a²/(v² − v₁²)). a/(v − v₁) would apply only if both ran along the same line. Answer (2).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.