From a balloon rising vertically upward at 6 m / s a stone is thrown up at 16 m / s relative to the balloon. Its velocity with respect to the ground after 2 second is:

Question

From a balloon rising vertically upward at 6 m / s a stone is thrown up at 16 m / s relative to the balloon. Its velocity with respect to the ground after 2 second is: (A) 10 m / s (B) 4 m / s (C) 6 m / s (D) 2 m / s

Tardigrade Admin · Accepted Answer

Initial velocity of the balloon w.r.t the ground

u = 6 + 16 = 22 m / s

because thrown velocity of stone and balloon is opposite
in direction w.r.t the ground
Velocity after

2

second

\Rightarrow v = u - g t

v = 22 - 10 \times 2

v = 22 - 20 = 2 m / s

Q. From a balloon rising vertically upward at 6m/s a stone is thrown up at 16m/s relative to the balloon. Its velocity with respect to the ground after 2 second is:

10 m / s

4 m / s

6 m / s

2 m / s

Initial velocity of the balloon w.r.t the ground u=6+16=22m/s because thrown velocity of stone and balloon is opposite in direction w.r.t the ground Velocity after 2 second ⇒v=u−gt v=22−10×2 v=22−20=2m/s

Q. From a balloon rising vertically upward at $6 m / s$ a stone is thrown up at $16 m / s$ relative to the balloon. Its velocity with respect to the ground after $2$ second is:

Initial velocity of the balloon w.r.t the ground
$u = 6 + 16 = 22 m / s$
because thrown velocity of stone and balloon is opposite
in direction w.r.t the ground
Velocity after $2$ second $\Rightarrow v = u - g t$
$v = 22 - 10 \times 2$
$v = 22 - 20 = 2 m / s$