A hot-air balloonist, rising vertically with a constant velocity of magnitude v = 5.00 m/s, releases a sandbag at an instant when the balloon is a height h = 40.0 m above the ground (Figure 1). After it is released, the sandbag is in free fall. For the questions that follow, take the origin of the coordinate system used for measuring displacements to be at the ground, and upward displacements to be positive.
A hot-air balloonist, rising vertically with a constant velocity of magnitude v = 5.00 m/s, releases a sandbag at an instant when the balloon is a height h = 40.0 m above the ground (Figure 1). After it is released, the sandbag is in free fall. For the questions that follow, take the origin of the coordinate system used for measuring displacements to be at the ground, and upward displacements to be positive.
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Question
A) Compute the position of the sandbag at a time 1.25 s after its release.
Express your answer in meters.
B) Compute the magnitude of the velocity of the sandbag at a time 1.25 s after its release.
Express your answer in meters per second.
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A hot-air balloonist, rising vertically with a constant velocity of magnitude \( v = 5.00 \, \text{m/s} \), releases a sandbag at an instant when the balloon is a height \( h = 40.0 \, \text{m} \) above the ground (Figure 1). After it is released, the sandbag is in free fall. For the questions that follow, take the origin of the coordinate system used for measuring displacements to be at the ground, and upward displacements to be positive.
**Explanation of Figure 1:**
The figure (not shown here) likely depicts a hot-air balloon at a certain height above the ground, marked as 40.0 meters. A sandbag is shown below the balloon, possibly with vectors indicating velocity and the direction of motion. The origin of the coordinate system is at ground level, and displacements upwards from the ground are considered positive."
Transcribed Image Text:**Text Transcription:**
A hot-air balloonist, rising vertically with a constant velocity of magnitude \( v = 5.00 \, \text{m/s} \), releases a sandbag at an instant when the balloon is a height \( h = 40.0 \, \text{m} \) above the ground (Figure 1). After it is released, the sandbag is in free fall. For the questions that follow, take the origin of the coordinate system used for measuring displacements to be at the ground, and upward displacements to be positive.
**Explanation of Figure 1:**
The figure (not shown here) likely depicts a hot-air balloon at a certain height above the ground, marked as 40.0 meters. A sandbag is shown below the balloon, possibly with vectors indicating velocity and the direction of motion. The origin of the coordinate system is at ground level, and displacements upwards from the ground are considered positive.
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