Consulting a physics text, you discover the formula y = y, + ½ a t which gives the position y of a freely falling object as a function of time t. The term y, is the initial position of the object (i.e. the position at time t = 0) and the term a is the acceleration of the object. What data transformation is required so that the a) experimental data will plot as a linear function?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter3: Motion Along A Straight Line
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ANALYSIS III
Data Set 3. Imagine that you are on Mars and have done the
following experiment: a small ball is held about 10 meters above
the surface and is released from rest and allowed to fall freely.
A motion detector placed below the ball records the position-
time data shown in the data table at the right. Assume that air
friction is so small that it can be neglected in your analysis.
Note that the position decreases with time because the ball is
falling toward the detector.
Transcribed Image Text:ANALYSIS III Data Set 3. Imagine that you are on Mars and have done the following experiment: a small ball is held about 10 meters above the surface and is released from rest and allowed to fall freely. A motion detector placed below the ball records the position- time data shown in the data table at the right. Assume that air friction is so small that it can be neglected in your analysis. Note that the position decreases with time because the ball is falling toward the detector.
3.
Consulting a physics text, you discover the formula y = y,
+ ½ a t? which gives the position y of a freely falling object as
a function of time t. The term y, is the initial position of the
object (i.e. the position at time t = 0) and the term a is the
acceleration of the object.
а)
What data transformation is required so that the
experimental data will plot as a linear function?
Transcribed Image Text:3. Consulting a physics text, you discover the formula y = y, + ½ a t? which gives the position y of a freely falling object as a function of time t. The term y, is the initial position of the object (i.e. the position at time t = 0) and the term a is the acceleration of the object. а) What data transformation is required so that the experimental data will plot as a linear function?
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