A hot-air balloonist, rising vertically with a constant velocity of magnitude 5.00 m/s, releases a sandbag at an instant when the balloon is 40.0 m above the ground. After it is released, the sandbag is in free fall. Compute the position and velocity of the sandbag at 0.250 s and 1.00 s after its release. How many seconds after its release will the bag strike the ground? With what magnitude of velocity does it strike the ground? What is the greatest height above the ground that the sandbag reaches?
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
- A hot-air balloonist, rising vertically with a constant velocity of magnitude 5.00 m/s, releases a sandbag at an instant when the balloon is 40.0 m above the ground. After it is released, the sandbag is in free fall.
- Compute the position and velocity of the sandbag at 0.250 s and 1.00 s after its release.
- How many seconds after its release will the bag strike the ground?
- With what magnitude of velocity does it strike the ground?
- What is the greatest height above the ground that the sandbag reaches?
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