March 14, 2012
Authored by: Abby Buchanan and Zack Sloope

March 14, 2012
Authored by: Abby Buchanan and Zack Sloope

Projectile Motion Lab
Predictions:
Angle: The angle will affect the height.
Initial Speed: This will affect the distance and force.
Mass of Projectile: It affects how much force is needed.
Size and Shape of Projectile: It will affect the distance.

Terms:
Range: distance an object goes
Height: distance between lowest and highest point
Time: the time it takes an object from launch to hit the ground

As the angle increased, time increased. The range increases and decreases. The height remained the same throughout. Initial Speed:
How does initial speed affect projectile motion?
speed| 15m/s| 18m/s| 21m/s| 24m/s| 27m/s| 30m/s|
range| 8.1m| 11.5m| 15.6m| 20.3m| 25.7m| 31.6m|
time| 3.1s| 3.7s| 4.3s| 4.9s| 5.5s| 6.1s|
height| -1.2m| -1.2m| -1.2m| -1.2m| -1.2m| -1.2m|

As initial speed increases, time and range increase and height stays the same. Mass:
How does the mass affect projectile motion?
Mass| 5kg| 10kg| 20kg| 50kg|
Range| 11.5m| 11.5m| 11.5m| 11.5m|
Time| 3.7s| 3.7s| 3.7s| 3.7s|
height| -1.2m| -1.2m| -1.2m| -1.2m|

As mass increases, everything stays the same. So, mass does not affect projectile motion.

Size and Shape:
How does size and shape affect projectile motion?
Object| baseball| Bowling ball| human| piano| Buick|
Time| 3.7s| 3.7s| 3.7s| 3.7s| 3.7s|
Range | 11.5m| 11.5m| 11.5m| 11.5m| 11.5m|
height| -1.2m| -1.2m| -1.2m| -1.2| -1.2|

Size and shape does not affect projectile motion. It...

...Title
ProjectileMotion
Abstract
A projectile was fired from atop an elevation and an angle. The initial velocity for each
firing was likely to be the same. The distance traveled in the horizontal direction was measured
for multiple firings of each trial, and the values were averaged. When the initial velocity for
each of these averages was calculated it was proved that the initial velocity was relatively
constant. These measurements had many possible sources of error including air resistance and
firing position. This lab increased understanding of projectilemotion.
Introduction
Projectilemotion occurs when an object in a two dimensional plane experiences motion
only due to gravity. Kinematic equations can be used to describe the components of projectilemotion. This allows us to analyze the motion. In this lab measurements will be taken to
determine the initial velocity of objects experiencing projectilemotion. This will first be done
for objects that are starting from a set elevation above the landing area. Then the initial velocity
will be found for objects that are launched from the floor at an angle to a landing area of the ...

...Keith Beachy
College Physics 1 Lab - Section 001
CP1 Lab Report - ProjectileMotion
October 12, 2009
The purpose of Lab Assignment 1 was to analyze projectilemotion. In doing so, we determined the initial velocity of the ball shot horizontally from the spring loaded projectile launcher. Also, we verified the angle at which the projection of the ball would produce a maximum range. Lastly, we predicted the range that a ball would travel at a certain angle, theta.
Projectilemotion is the motion of objects that are initially launched, or projected, and then continue moving with only the force of gravity acting upon it. The forces involved in projectilemotion are the initial velocity of the projected object at a certain angle and gravity acting downward on the object. The vector nature of forces can be used to determine how far an object launched can go and its initial velocity at an angle of 0 by finding its x and y components separately. The components of velocity are found by taking the initial velocity multiplied by sin for the y component, and cos for the x component. To find the initial velocity, we had to plug in specific values into the equation, v=0.5g(x/y), all raised to the one-half power, which was equal to 2.5 m/s. This equation is derived from the equation for...

...Name __ ProjectileMotion
Go to http://phet.colorado.edu/simulations/sims.php?sim=Projectile_Motion
and click on Run Now.
Pre Lab Reflections:
What are the
What forces are at play on a body under fall? Gravity plays a part in force on the weight of your body.
Make a prediction of which angle results in maximum range. I predict that the 45 degrees will result in max range.
Activity:
Open the sim, projectilemotion.
Familiarize yourself with the variables shown there.
Ensure the air resistance check box remains unchecked.
Using the mouse set the angle of projection(i) to 5 deg.
Alternatively enter the value in directly.
Set the initial speed to a value U=15m/s .
Click on Fire to start the projectile and record the corresponding value of the range R.
Repeat with values
i= 10,15,20,25,30,35,40,45,50,60,70,75,80,85.
Draw a graph of Range (R) against Angle of projection (i)
You may want your lay out to appear like in the table.
U=………
Angle (i)
Range(m)
5
9.7
10
12.2
15
14.9
20
17.5
30
21.8
35
23.2
40
24
45
24.1
50
23.6
55
22.4
60
20.6
65
18.1
70
15.2
75
11.8
80
8.1
85
4.1
From your graph,
Describe the shape of the graph obtained. Comment.
In a parabola -unimodal, bell-shaped distribution
Determine using the graph the angle for maximum range.
Looking at the graph it is 45 degrees
Post activity discussion:...

...initial horizontal velocity of the soccer ball.
Problem Type 2:
A projectile is launched at an angle to the horizontal and rises upwards to a peak while moving horizontally. Upon reaching the peak, the projectile falls with a motion that is symmetrical to its path upwards to the peak. Predictable unknowns include the time of flight, the horizontal range, and the height of the projectile when it is at its peak.
Examples of this type of problem are
a. A football is kicked with an initial velocity of 25 m/s at an angle of 45-degrees with the horizontal. Determine the time of flight, the horizontal distance, and the peak height of the football.
b. A long jumper leaves the ground with an initial velocity of 12 m/s at an angle of 28-degrees above the horizontal. Determine the time of flight, the horizontal distance, and the peak height of the long-jumper.
The second problem type will be the subject of the next part of Lesson 2. In this part of Lesson 2, we will focus on the first type of problem - sometimes referred to as horizontally launched projectile problems. Three common kinematic equations that will be used for both type of problems include the following:
Equations for the Horizontal Motion of a Projectile
The above equations work well for motion in one-dimension, but a projectile is usually moving in two dimensions -...

...ProjectileMotionLab 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 |
|Meter-stick |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 y-axis) 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...

...Title of experiment : To investigate 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 and Materials :
1. Ramp
2. Wooden block
3. Pendulum bob
4. Plumb line
5. Steel ball
6. Wooden board
7. Carbon paper
8. Meter rule
9. 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.
Figure 4-1
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 x and y is
= + k
Procedure :
1. Position the ball at the top of the ramp. Release the ball so...

...y I. Introduction
In this lab the main focus was projectilemotion. 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 projectilemotion 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 projectilemotion. In vertical projectilemotion gravity is acting on the projectile, which means that the acceleration in vertical projectilemotion is equal to gravity’s acceleration (9.8m/s2). Some equations for projectilemotion 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 projectilemotion. 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...

...Pre-lab:
Newtons Three Laws of Motion:
There are three laws of motion that have been stated by Sir Isaac Newton during the sixteenth century that are looked upon even today.
The first of these laws states that an object will stay in at rest or in a constant velocity unless a force acts upon it. In simplest terms this means that if u place an apple on the table it isn't just going to roll off.
The second of these laws states that when a force acts upon an object it causes it to accelerate, and the greater the mass of the object the more of the force will be needed to push it. Basically this means that it takes more force to move a heavy object than it does to move a lighter object. The Second Law of Motion can be stated as Force = (Mass)(Acceleration).
The third and final law of motion states that for every action there is an equal and opposite reaction. This simply means that pushing on an object causes that object to push back against you, the exact same amount, but in the opposite direction.
Motion:
Motion is movement. It is the act of moving and remaining at rest. When you have motion you have a velocity that is greater than zero.
Force:
A force is anything that causes an object to move and accelerate which would be still if the force was absent.
Inertia:
Inertia is remaining at a constant velocity or at rest without any...