Question

From the top of a tower, two stones whose masses are in the ratio $1:2$ are thrown, one straight up with an initial speed $u$ and the second straight down with same speed $u$. neglecting air resistance,

• A. the heavier stone hits the ground with a higher speed
• B. the lighter stone hits the ground with a higher speed
• C. both the stones will have same speed when they hit the ground
• D. the speed cannot be determined with the given data

Answer 1

Answer: (C)

both the stones will have same speed when they hit the ground

For motion under gravity, speed is independent of masses
The net vertical displacement for both stone are same. Also they are launched with same initial speed $u$, therefore both the stone will have same speed when they hit the ground.