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)
The purpose of the projectile lab is to test the validity of the law of conservation of energy. The application of this law to our everyday lives is a surprisingly complicated process. Conservation of energy states that energy cannot be created or destroyed, but that it can be transferred from one form to another. Consider the projectile lab from document A that this essay is based upon. In an ideal experiment, the projectile is isolated from everything except the gravitational field. In this case, the only force acting on the particle is gravity and there are only two forms of energy that are of interest: the energy of the particle due to its motion (defined as kinetic
height of the ping-pong ball in a table of results. I will also make a
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It was a warm and sunny Saturday morning when my friend, Sivi, and I left our home to travel to the small local airport located outside of town. Just the previous night we had received 4 hours of classroom training in how to perform a successful "Skydive" and now we would receive 4 more hours of practical, hands-on training.
slope. I think that out of all the variables, this is the one which is
-In order to solve this differential equation you look at it till a solution occurs to you.
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whereβ the intercept 0 and β the slope 1 are unknown constants and ε is a random error component .
Here, we can use the vectors to use the Pythagorean Theorem, a2 + b2 = c2, to find the speed and angle of the object, which was used in previous equations.