A balloon is released up with an acceleration a⁰= 4m/s starting from r...
Understanding the Balloon's Motion
When the balloon is released, it accelerates upwards with an acceleration of 4 m/s². Since it starts from rest, we can calculate its velocity after 5 seconds using the formula:
- Final Velocity (v) = Initial Velocity (u) + (Acceleration × Time)
- Here, u = 0 (starting from rest), a = 4 m/s², t = 5 s.
Calculating the Velocity of the Balloon
- Final Velocity after 5 seconds = 0 + (4 m/s² × 5 s)
- Final Velocity after 5 seconds = 20 m/s
This means that after 5 seconds, the balloon is moving upwards at 20 m/s.
Understanding the Coin Drop
When the coin is dropped from the balloon, it has the same upward velocity as the balloon at the moment of release.
Initial Velocity of the Coin
- The initial velocity of the dropped coin is equal to the velocity of the balloon at the time of the drop.
- Therefore, the initial velocity of the coin when dropped is 20 m/s upwards.
Key Points Summary
- The balloon accelerates upwards at 4 m/s² from rest.
- After 5 seconds, the balloon's velocity is 20 m/s.
- The coin, dropped from the balloon, has an initial velocity of 20 m/s upwards.
In conclusion, the initial velocity of the dropped coin is 20 m/s upwards, matching the balloon's velocity at the moment of release.
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