At the same instant, two boys throw balls A and B from a window with speeds $v_{0}$ and $k v_{0}$ respectively, where k is constant. They collide in air at time t. which of the following options (s) is/are correct?

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

$k = \frac{\cos θ_{2}}{\cos θ_{1}}$

$k = \frac{\sin θ_{2}}{\sin θ_{1}}$

$t = \frac{h}{(k v_{0} \sin θ_{1} + v_{0} \sin θ_{2})}$

$t = \frac{h}{(k v_{0} \cos θ_{1} + v_{0} \cos θ_{2})}$

answer is B, C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

In x-direction;

$d = v_{0} \cos θ_{2} t = (k v_{0} \cos θ_{1})$ t

$k = \frac{\cos θ_{2}}{\cos θ_{1}}$

Motion of A w.r.t B in y-direction

$h = v_{r} t, v_{r} = (k v_{0} \sin θ_{1} + v_{2} \sin θ_{2})$

$t = \frac{h}{v_{r}} = \frac{g}{k v_{0} \sin θ_{1} + v_{0} \sin θ_{2}}$

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE