A sandbag falls from a hot air balloon that is rising with a constant velocity of 15m.s 1)What is the acceleration of the bag the moment it fell from the hot air balloon? 2)What is the acceleration of the hot air balloon the moment the sandbag fell from it? 3)What is the velocity of the sandbag the moment it fell from the hot air balloon? 4)What is the height of the hot air balloon at the time the sandbag fell? 5)How high above the ground is the hot air balloon when the sandbag strikes the ground?
To answer these questions, we'll need to use some basic principles of motion, specifically acceleration and velocity.
1) To determine the acceleration of the sandbag the moment it fell from the hot air balloon, we need to consider that the sandbag is initially at rest relative to the balloon, which is rising with a constant velocity. Therefore, the acceleration of the sandbag will be equal to the acceleration due to gravity, which is approximately 9.8 m/s² downward.
2) The acceleration of the hot air balloon will remain zero throughout, as it is rising with a constant velocity. The sandbag falling will not affect its acceleration.
3) To determine the velocity of the sandbag the moment it fell from the hot air balloon, we need to know the time it took to fall. The velocity can be calculated using the equation: velocity = acceleration × time. Since the sandbag is in freefall, its time of fall can be found using the equation: time = (2 × height) / gravity. However, without knowing the height from which the sandbag was dropped, we cannot calculate its exact velocity.
4) The height of the hot air balloon at the time the sandbag fell can be calculated using the equation of motion: height = (initial velocity × time) + ((1/2) × acceleration × time²). However, without knowing the exact time the sandbag fell or any other relevant information, we cannot calculate the height.
5) Similarly, to determine the height above the ground when the sandbag strikes, we need to know the total time it took for the sandbag to fall, which we don't have in this scenario. Therefore, it is not possible to calculate the height above the ground when the sandbag strikes based on the given information.
In summary, without additional information such as the time of fall or the initial height, we cannot calculate the exact values for questions 3, 4, and 5.