Projectile motion
into physics
Objective:
Our purpose for this lab was to observe projectile motion and use the equations of motion to predict the objects location in different instances of time. We used a projectile launcher and a ball to observe these properties of motion. The main equation used in this lab was d=Vit+1/2at^2 where Vit will produce the distance due to constant motion and 1/2at^2 will produce distance traveled due to accelerated motion or gravity in this case.
Introduction:
Projectile motion can be split into two separate dimensions of movement. The first being constant motion in the horizontal x axis witch neglecting air resistance should stay constant throughout the projectiles path. In the vertical y axis we have constant acceleration due to gravity toward the ground. These two motions are linked in time witch allows you observe the instantaneous characteristics of the projectile. Time is the connecter between the equations so you can salve for time in one equation and plug it into the other to find the data needed at that time/distance. Let's start by analyzing the horizontal x axis. Often the distance traveled by a projectile in the horizontal is called range(R = VicosÓ¨Ît). When broken down Vi cosÓ¨Ît is the initial velocity of the object in the x axis multiplied by how long it has been traveling at that speed equals your displacement in the x axis. The other dimension is the vertical witch is usually called height (h=VisinÓ¨Ît+1/2at^2) witch is similar to the horizontal motion except we have to account for the force of gravity. When we brake down the equation we see the height is equal to the initial velocity (VisinÓ¨Ît) of the object in the y axis plus half the force of gravity multiplied by the amount of time in the air squared witch yields the displacement in the y axis. Both equations are needed to represent the projectiles overall motion and can be manipulated though algebra to figure out the different components of...
...ProjectileMotion
Experiment # 4
Introduction:
ProjectileMotion 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 projectilemotion 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 twodimensional kinematics to predict the impact point of a ball in projectilemotion and ability to understand trialtotrial 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 rightangle 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...
...investigation By Rex Whiticker
ProjectileMotion
Abstract:
The Project motion of a catapult being fired is varied by a range of factors that affect the path of the projectile. In this experiment, the angle of trajectory, mass of the projectile and change in initial velocity of the launch, were all factors considered in the end result to investigate the properties of projectilemotion. The purpose of the experiment was to conduct a firsthand investigation to design and analysis how angle, weight and power affect projectilemotion, collecting approximate values and recording results.
Introduction:
Parabolic motion has been studied for a long time dating all the way back to the time in which Galileo was conducting experiments. During the experiment two angles were fired at 320 and 100 at two different power levels and weights.
Galileo was the first person who accurately described projectilemotion. Because of the drawings of Niccolo Tartaglia, Galileo realized that a projectile followed a curved path which is called a parabola. The parabola had an exact mathematical shape that was acted upon two forces, vertical and horizontal. His experiments included rolling balls down a highly polished inclined plane (to lower the acceleration) and record similarities. His work showed that...
...TITLE
To investigate the trajectory of a small ball as it rolls off a surface which is inclined to 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 41.
2. Suspend a plumline from the edge of the bench as shown in Figure 42.
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 inkside 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 42.
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 plumline 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....
...ProjectileMotion Lab Report
Objectives:
This laboratory experiment presents the opportunity to study motion in two dimensions, projectilemotion, which can be described as accelerated motion in the vertical direction and uniform motion in the horizontal direction.
Procedures and Apparatus:
Rubber Ball White sheets of papers 
Metal Track Water 
Books Table 
Meterstick Stopwatch 
• Obtain all the apparatus and material needed to proceed with experiment
• Set up a ramp using the metal track and a bunch of books at any angle so that the ball will roll off.
• Measure the distance from the edge of the table to the end of the ramp.
• Roll the ball down the ramp and off the table but make sure to catch the ball as soon as it leaves the table; do this part 10 times and record the times
• Calculate average velocity for this step
• Measure the height (vertical distance or the yaxis) of the table.
• Using this height, derive t (time) from the uniform accelerated motion in order to obtain the predicted distance x.
• The next step is to release the ball from the ramp and let it fall off the table to the floor.
• Measure the spot on the floor where the ball hits the...
...Lebanese American University
Classical Physics
3 . ProjectileMotion
Objectives:
Students will measure the maximum height H and the range R of a projectilemotion.
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
...
...ProjectileMotion
The purpose of this lab is to study the properties of projectilemotion. From the motion of a steel ball projected horizontally, the initial velocity of the ball can be determined from the measured range. For a given initial velocity, the projectile range will be measured for various initial angles, and also calculated by applying the theory for motion with constant acceleration. For further background information, refer to the sections in your textbook on projectilemotion and motion with constant acceleration.
THEORY For a given initial velocity, v0 , and initial position, s0 ,the position of a particle, s, as a function
of time, undergoing constant acceleration, a is given by sr = sr 0 + vr 0 t + 12 ar t 2 ( 1 )
This is a vector equation and can be broken up into its x, y, and z components. Since the motion is in a plane, we need only look at the x and y components. If we neglect air resistance, the acceleration in the y direction is g, due to gravity. The acceleration in the x direction is zero. Hence, the vector equation (1) becomes two scalar equations:
If we eliminate t in Eqs.(5) we get y as a function of x. gx2
and solving for vo we get
x = x0 + v 0x t (2) y=y+v t1gt2
0 0y In terms of the angle θ, and the initial speed vo, the initial velocity components are
v0x=v0cosθand v0y=v0sinθ...
...Investigating ProjectileMotion
Introduction
Projectilemotion is a type of motion that consists of horizontal and vertical motions which are independent from each other, known as vector components. For an object to be considered a projectile, it must not be selfpropelled. Projectiles move horizontally at a constant velocity. However, they undergo uniform acceleration in the vertical direction, which is caused by gravity. An important aspect of projectilemotion is that the time it takes for the object to travel on the Y axis is exactly the same as the time it takes to travel on the X axis. A practical example of this would be if you were to drop a bullet and fire a gun simultaneously and at the same height, they would both hit the ground at the exact same time. Projectiles are launched in 2 ways: horizontal launch and vertical launch. Horizontal launch is the when the object is launched horizontally from a height. An example of horizontal launch would be rolling a ball off a table. Angular motion is when the object is launched at an angle to the horizontal. An example of an angular launch would be a throwing a football. Understanding projectilemotion allows for many real world problems to be solved.
Purpose: What is the instantaneous acceleration of the puck...
...
Lab #3: Initial Velocity of a Projectile 


Abhishek Samdaria 
Pd.4 and 5 

Lab #3: Initial Velocity of a Projectile
Theory:
How can we determine the initial velocity of a projectile?
Experimental Design:
The purpose behind this experiment was to determine the initial velocity of a projectile. Projection motion consists of kinematics of motion in the x and y directions. With two dimension kinematics, there are the x and y components in any given velocity. In projectilemotion, the x component has no acceleration as no outside forces are acting on it. The Y component on the other hand has gravity acting as a force.
A small ball is shot, at three various angles (30,45,60), and through the known values the initial velocity of the ball is found. As a result, the range of the project can be represented with the equation
1) R = V02g*Sin2θ , where R represents the range or Dx; the values of g and θ are known.
However, in this experiment, one main equation were used to determine the initial velocity.
1) yy0=tanθxgx22(V0cosθ)2 , where y is the trajectory of a particle in two dimensional motion, gravity is 9.81 m/s 2 , and θ is the launch angle. X is equal to the average distance launched in the x direction.
In order to determine all the components required to use the trajectory equation, a small...