From a balloon rising vertically upwards at 5m/s a stone thrown up 10m/s relative to the balloon. Its velocity with respect to ground after 2 sec Ans is 5m/s how?

Question

Answer

Use the formula V=U-g×t

M=10+5=15(u)

V=15-10×2

V=5m/s...!!😊👍👍

Answer

As the stone is thrown from rising balloon , so the stone will have the velocity of balloon + the velocity with which it was thrown. I.e. 10m/s +5 m/s =15m/s so its initial velocity(u) becomes 15m/s. now use the formula v=u - gt and after putting all values you will get v= -5 m/s but as the stone is seen relative to ground that's why velocity will be equal to +5 m/s.

Answer

Understanding the Scenario
In this problem, we have a balloon that is rising vertically at a speed of 5 m/s. A stone is thrown upwards from the balloon with a speed of 10 m/s relative to the balloon. We need to determine the stone's velocity with respect to the ground after 2 seconds.
Initial Velocities
- Balloon's Velocity: 5 m/s upwards
- Stone's Velocity (relative to the balloon): 10 m/s upwards
Calculating the Stone's Initial Velocity
To find the stone's velocity with respect to the ground, we need to add the balloon's velocity to the stone's velocity relative to the balloon.
- Stone's Initial Velocity (with respect to ground):
5 m/s (upwards) + 10 m/s (upwards) = 15 m/s (upwards)
Motion After 2 Seconds
Now, we need to consider the effects of gravity on the stone's motion. The stone is subject to gravitational acceleration, which is approximately 9.8 m/s² downwards.
- Velocity Change Due to Gravity:
After 2 seconds, the stone’s velocity decreases due to gravity.
Change in velocity = gravity * time = 9.8 m/s² * 2 s = 19.6 m/s (downwards)
- Stone's Final Velocity:
Initial velocity (15 m/s upwards) - Change in velocity (19.6 m/s downwards)
= 15 m/s - 19.6 m/s = -4.6 m/s (downwards)
Velocity with Respect to Ground
Since the final velocity is negative, it indicates that the stone is moving downwards at a speed of 4.6 m/s after 2 seconds. However, the question states that the speed is 5 m/s. This discrepancy might be due to rounding or simplifications in the calculations involved in understanding the problem.
In conclusion, after 2 seconds, the stone's velocity with respect to the ground is approximately 5 m/s downwards, aligning with the given answer.

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