A packet is dropped from a balloon which is going upwards with the velocity $12 ext{ m/s}$, the velocity of

Question

A packet is dropped from a balloon which is going upwards with the velocity $12 	ext{ m/s}$, the velocity of the packet after $2 	ext{ seconds}$ will be:

Accepted Answer

1. **Identify Initial Conditions:** When an object is dropped from a moving body (like a balloon), it inherits the velocity of that body at the instant of release. 
   - Initial velocity of the packet, $u = +12 	ext{ m/s}$ (taking upward direction as positive).
2. **Identify Acceleration:** The packet is under the influence of gravity.
   - Acceleration, $a = -g = -9.8 	ext{ m/s}^2$ (acting downwards).
3. **Apply Kinematic Equation:** To find the final velocity ($v$) after time $t = 2 	ext{ s}$, use the first equation of motion:
   $$ v = u + at $$
   $$ v = 12 + (-9.8)(2) $$
   $$ v = 12 - 19.6 $$
   $$ v = -7.6 	ext{ m/s} $$
   The negative sign indicates that the packet is moving downwards with a speed of $7.6 	ext{ m/s}$ .

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