A packet is dropped from a balloon which is going upwards with the velocity 12 m/s, the velocity of the packet after 2 seconds will be:
A
–12 m/s
B
12 m/s
C
–7.6 m/s
D
7.6 m/s
Step-by-Step Solution
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 m/s (taking upward direction as positive).
Identify Acceleration: The packet is under the influence of gravity.
Acceleration, a=−g=−9.8 m/s2 (acting downwards).
Apply Kinematic Equation: To find the final velocity (v) after time t=2 s, use the first equation of motion:
v=u+atv=12+(−9.8)(2)v=12−19.6v=−7.6 m/s
The negative sign indicates that the packet is moving downwards with a speed of 7.6 m/s .
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