Free Fall Experiment
One of the major topics discussed in Physics is the study of free
fall, or the effect of the force of gravity on any object. This
experiments aimed to investigate the mechanics or the action of
gravity an object by analyzing certain vectors related to free fall
versus time graphs. These studies on free fall are important if
further studies of projectile motion are being made.
The objective of the study is to show that velocity, acceleration and
distance are related such that one is actually the slope of the other.
The slope of velocity is acceleration. The slope of distance is
velocity. Hence, changes in one of the factors involving a certain
object, the other related factors are also inevitably altered. This
exercise also seeks to prove the constant of acceleration due to
gravity.
The first activity utilized the ULI, photogate and Logger Pro systems
to analyze graphs for free fall. The photogate system was first
assembled and connected to the computer using the ULI. Three graphs
were analyzed by the Logger Pro program namely distance vs. time,
velocity vs. time, and acceleration vs. time graphs. A chopper was
dropped in between the photogate, and data of various components such
as acceleration were recorded and plotted on the different graphs in
the program. After data collection, a linear fit and a quadratic curve
was tested upon the graph of distance vs. time. It was found out that
a quadratic curve would fit better for the distance vs. time graph
rather than a linear fit. This shows that the distance follows a
parabolic curve as time progress during a free fall. This is shown by
the equation X = X0 + V0t – 1/2gt2, or D= V0t – 1/2gt2 .A quadratic
equation has a form ax2 + bx + c = 0, where ax2 is –1/2gt2 , bx is V0t,
and c is X – X0 which is also the displacement or as scalar quantity,
the distance D. The graph of velocity vs. time is a linear equation,
(t)| (12) The −→ A , −→ C vectors are calculated as in equations 13 and 14 −→ A = 2 −→ A . −→ r 1 − −→ a (13)
Patient falls in the hospital is a serious issue and challenging problem that could lead to prolonged hospital stay, longer recovery time for patients, increased costs for hospitals, and a source of distress and anxiety for patients, nurses, and families. Patient falls can cause minor or major serious physical injury depending on the situation and the age of the client. In addition to the physical harms, patients can suffer from psychological injuries which make them lose their independence and confidence on themselves and build a lot of anger, distress and fears of falling.
height of the ping-pong ball in a table of results. I will also make a
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slope. I think that out of all the variables, this is the one which is
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whereβ the intercept 0 and β the slope 1 are unknown constants and ε is a random error component .
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