As an astronaut visiting Planet X, you’re assigned to measure the free-fall acceleration. Getting out your meter stick and stop watch, you time the fall of a heavy ball from several heights. Your data are as follows: Height (m) fall time ( s) 0.0 0.00 1.0 0.54 2.0 0.72 3.0 0.91 4.0 1.01 5.0 1.17 Analyze these data to determine the free-fall acceleration on Planet X. Your analysis method should involve fitting a straight line to an appropriate graph.
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.
As an astronaut visiting Planet X, you’re assigned to measure the free-fall acceleration. Getting out your
meter stick and stop watch, you time the fall of a heavy ball from several heights. Your data are as follows:
| Height (m) | fall time ( s) |
| 0.0 | 0.00 |
| 1.0 | 0.54 |
| 2.0 | 0.72 |
| 3.0 | 0.91 |
| 4.0 | 1.01 |
| 5.0 | 1.17 |
Analyze these data to determine the free-fall acceleration on Planet X. Your analysis method should involve
fitting a straight line to an appropriate graph.
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