Michelle Villanueva
All About Vertical Motion!
Hey! I know the vertical motion model can be hard, but once you get the hang of it, it’s a piece of cake. Math is all about using your prior knowledge, plugging it into what you know, to solve for what you don’t know. The vertical motion model is made up of the velocity, and height. The equation is -16t2 + vt + h. V is equivalent to the velocity, and h is equal to the height. The vertical motion falls under the influence of gravity. As the force due to gravity may be opposite to the direction of motion, there exists the possibility that the body under force of gravity reverses its direction. It is, therefore, important to understand that the quantities involved in the equations of motion may evaluate to positive or negative values with the exception of time (t). We must appropriately assign sign to various inputs that goes into the equation and correctly interpret the result with reference to the assumed positive direction. Further, some of them evaluate to two values one for one direction and another of reversed direction.

The problem I created was based on Hope Solo and her soccer skills. Hope kicks the ball back at an initial height of 3 feet, and a vertical velocity at 20 feet per second. The equation to this problem would be h(t)= -16t2 + 20t + 3. This shows how 20 would be the velocity, and 3 would be the initial height. The problem would ask us for the equation, time the ball would hit the ground in seconds, time the ball was in the air at 5ft, and the maximum height of the ball. In order to find at what time the ball would hit the floor, we need to find zero in the calculator. First step into solving this problem is plugging in the equation into the calculator. You will the need to find zero under the x-axis, in trace zero. The calculator will ask you for left and right bound. The ball would then hit the ground at 1.4 seconds. Next, the problem asked for the...

...Accelerated Motion
This is an example of a laboratory report. For a detailed description of how to complete a lab report,
consult the laboratory manual. When writing your lab reports, use your own words. Do not copy from this
sample or from the laboratory manual.
Your name:
Lab partners’ names:
PHYS 1.2 L
Section:
Instructor: Prof. Gelman
Date:
Objectives
To investigate the properties of a uniformly accelerated cart moving down an inclined
plane. To measure the instantaneous velocity and to determine the acceleration of the
cart from the slope of the velocity-time graph.
Theoretical Background
A cart moving down a smooth incline speeds up. This is a simple case of a uniformly
accelerated motion in one dimension. The rate of change of velocity is constant or
uniform. The rate of change of velocity is called acceleration. To determine the
acceleration, one needs to measure the velocity at two different points along the incline,
v and v0, and to measure the time t it takes a cart to move between the two points. Then
the acceleration is given by,
The SI unit for the acceleration is 1 m/s2. This equation can be rearranged as,
This equation gives the future velocity v in terms of the initial velocity v0, acceleration a
and elapsed time t. According to this equation, the velocity-time graph for uniformly
accelerated motion is a line with a slope equal to a, and y-intercept equal to v0.
There is another...

...the horizontal.
OBJECTIVE
To investigate the trajectory of a two dimensional motion
APPARATUS & MATERIALS
Ramp
Wooden block
Pendulum bob
Plumb line
Steel ball
Wooden board
Carbon paper
Meter rule
Plasticine
SETUP
1. A ramp has been set up at the edge of a bench as shown in the Figure 4-1.
2. Suspend a plum-line from the edge of the bench as shown in Figure 4-2.
3. Mount a wooden board horizontally using two clamps so that the board is situated
about the bottom of the ramp.
4. Place a sheet of blank paper on top of the board.
5. Place a piece of carbon paper on the top of the blank paper. The ink-side of the
carbon paper should be facing down.
6. When a ball is released at the top of the ramp, the ball will travel through a
trajectory as shown in Figure 4-2.
THEORY
Let:
g =
u = speed of the ball as it leaves the ramp
k = constant
y = vertical distance (between the bottom of the ramp and the top of the board)
x = horizontal distance (between the plum-line and mark on the paper)
The equation which relates to x and y is
PROCEDURE
1. Position the ball at the top of the ramp. Release the ball so that it rolls down the
ramp and onto the board below.
2. Remove the carbon paper and observe that the ball makes a small mark on the blank
paper.
3. Measure and record the vertical distance y and the horizontal...

...y I. Introduction
In this lab the main focus was projectile motion. A projectile is an object flying through the air that is only under the force of gravity (neglecting air resistance). A projectile moves both horizontally and vertically, which creates a parabolic flight path. In vertical projectile motion there is a constant velocity since there are no forces in the horizontal direction (neglecting drag due to air resistance). Consequently, there is no acceleration in horizontal projectile motion. In vertical projectile motion gravity is acting on the projectile, which means that the acceleration in vertical projectile motion is equal to gravity’s acceleration (9.8m/s2). Some equations for projectile motion are the three kinematic equations, the equation for Vx (Vx = ∆x/∆t), and the equation for time (∆t = 2∆y/g).
The purpose of this lab was to get a projectile falling off a ramp on a table to land in a cup by using equations that are related to projectile motion. The hypothesis was that if all the calculations were correct (based on the horizontal and vertical speed of the projectile, the height of the table, the height of the cup, the time for the projectile to pass through the time gates, and the overall range of the projectile) the projectile would fall into the cup.
II. Procedure
Materials...

...Lebanese American University
Classical Physics
3 . Projectile Motion
Objectives:
Students will measure the maximum height H and the range R of a projectile motion.
They will study the effect of the shooting angle on H and R.
Material used:
4 rulers, track, metallic ball, landing track, A4 white paper, red carbon paper, timer + supply, gun
+ protractor.
Theory:
A projectile is an object upon which the only force acting is gravity. There are a variety
of examples of projectiles: an object dropped from rest is a projectile (provided that the
influence of air resistance is negligible), an object thrown vertically upwards is a
projectile (provided that the influence of air resistance is negligible), and an object
thrown upwards at an angle is also a projectile (the same assumption). A projectile is
any object, which once projected, continues its motion by its own inertia and is
influenced only by the downward force of gravity.
By definition, a projectile has only one force acting upon - the force of gravity. If there
were any other force acting upon an object, then that object would not be a projectile.
Projectiles can be launched both horizontally and vertically, and they have both
horizontal and vertical velocity and horizontal and vertical displacement.1
If a body of mass m moves in a constant gravitational field (gravitational force m.g ), the
motion lies...

...groove that imparts motion to a follower
➢ Cams are very important and frequently occurring elements in many types of machines – especially AUTOMATIC MACHINES
➢ Cams are the heart of such automatic devices as automatic devices as automatic machine tools, record changers, mechanical calculators, cash registers, and many other devices.
Types of Cams:
Motions Used for Cam Followers:
➢ Themotion of the follower is of primary interest in the analysis of existing cams or in the design of new cams.
➢ It is easier to analyze the motion of cam followers if their motion is plotted as a graph often referred to as DISPLACEMENT DIAGRAM
A. Displacement Diagram
B. Motions that are most commonly used:
1. Uniform Velocity (straight line) motion – UVM
2. Simple Harmonic Motion – SHM
3. Uniformly Accelerated motion (Parabolic Motion) – UAM or PM
4. Modified Uniform-Velocity Motion – MUVM
a. Arc method – MUVM-Arc
b. Uniform Acceleration Method – MUVM-UAM
5. Cycloidal Motion – CM
A. Uniform Velocity Motion (Straight Line Motion)
If the follower is to move with uniform velocity, its displacement must be the same for equal units of time....

...Old Dominion University
PHYS 111N
Experiment 10 Harmonic Motion
Submitted by:
Lab Partner:
Lab Instructor:
Introduction
In this experiment we will investigate the simple harmonic motion of an object suspended by a spring that oscillates on a vertical plane and in a separate experiment was examine oscillations on a horizontal plane. In simple harmonic motion, the displacement from the equilibrium position is directly proportional to the force. The force generated is always directed toward the equilibrium position. If the object is at its vertical peak and descending, the force is directed downward toward the point of equilibrium. The same is true for the objects in a vertical system or a horizontal system. Because the force always is directed towards the equilibrium position it is referred to as the restoring force.
The spring constant of the springs used in the experiment must be calculated prior to performing any additional step. This is done using the Pasco Scientific Data Studio and equipment. We set up the 36” vertical support rod on the table clamp and attached the 90o adapter. The 24” support rod was set and the force sensor was place on the 24” rod. Once the force sensor was calibrated, a sequence of masses was suspended from the spring and the amount of stretch was measured and documented in Table 1 as spring 1. The graphing program calculated the...

...For other uses, see Force (disambiguation).
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See also: Forcing (disambiguation)
Force
Force examples.svg
Forces are also described as a push or pull on an object. They can be due to phenomena such as gravity, magnetism, or anything that might cause a mass to accelerate.
Common symbol(s): F, F
in SI base quantities: 1 kg·m/s2
SI unit: newton
Derivations from other quantities: F = m a
Classical mechanics
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In physics, a force is any influence that causes an object to undergo a certain change, either concerning its movement, direction, or geometrical construction. In other words, a force can cause an object with mass to change its velocity (which includes to begin moving from a state of rest), i.e., to accelerate, or a flexible object to deform, or both. Force can also be described by intuitive concepts such as a push or a pull. A force has both magnitude and direction, making it a vector quantity. It is measured in the SI unit of newtons and represented by the symbol F.
The original form of Newton's second law states that the net force acting upon an object is equal to the rate at which its momentum changes with time.[1] If the mass of the object is constant, this law implies that the acceleration of an object is directly proportional to the net...

...Projectile Motion
Experiment # 4
Introduction:
Projectile Motion exists commonly in our everyday lives and is particularly evident in the motion or flight of objects which are projected from a particular height. The key to working with projectile motion is recognizing that when an object with mass is flying through the air, its motion is a combination of vertical and horizontal movements. Although the horizontal velocity of the object remains constant throughout the flight, it’s vertical velocity accelerates or decelerates due to gravity.
Purpose:
The purpose of this experiment is to be able to measure the velocity of a ball using two Photogates and computer software for timing, apply concepts from two-dimensional kinematics to predict the impact point of a ball in projectile motion and ability to understand trial-to-trial variations in the velocity measurement when calculating the impact point.
Materials:
Computer plumb bob
Vernier computer interface ramp
Logger Pro two ring stands
Two Vernier Photogates two right-angle clamps
Ball(1 to 5 cm diameter) meter stick or metric measuring tape
Masking tape target
Procedure:
1) Set up a low ramp made of angle molding on a table so...