Question

A large rectangular box falls vertically with an acceleration a. A toy gun fixed at A and aimed towards C fires a particle P. Then

• A. P will hit C if a = g
• B. P will hit the roof BC if a > g
• C. P will hit the wall CD if a < g
• D. May be either (a), (b) or (c), depending on the speed of projection of P

Answer 1

Answer: (A), (B), (C)

The correct options are
A P will hit C if a = g
B P will hit the roof BC if a > g
C P will hit the wall CD if a < g

If a = g, then relative acceleration between box and particle is zero and the motion of particle with respect to box is a straight line
$\Rightarrow$ Particle hits C (a)
Now is a > g then particle will hit the roof because acceleration of particle will be less than acceleration of rectangular box in this case.
And if a < g then particle will hit the wall CD.