Introduction
Projectile motion 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 self-propelled. 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 projectile motion 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 projectile motion allows for many real world problems to be solved.

Purpose: What is the instantaneous acceleration of the puck for different Δv vectors?

Procedure:
1) On a large sheet, 2 sets of data were printed, one for linear motion and one for projectile motion. 2) For the linear motion print, vectors were drawn between 3 adjacent dots for 3 different sets. 3) Velocity vector was determined by dividing the displacement vector by the time interval of 40 ms. 4) ΔV was calculated using Δv = v2 – (-v1). Acceleration for each Δv vector was calculated using a = Δv/t. Answer was converted to m/s. 5) Steps 2-5 were repeated for the two remaining pairs of displacement vectors. 6) For the initial horizontal projectile motion, a grid was drawn vertically and horizontally through the dots...

...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 two-dimensional kinematics to predict the impact point of a ball in projectilemotion 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...

...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....

...ProjectileMotion
Purpose: Apply the concepts of two-dimensional kinematics (projectilemotion) to predict the impact point of an object as its velocity increases.
Introduction: The most common example of an object that is moving in two dimensions is a projectile. A projectile is an object upon which the only force acting is gravity. That is to say a projectile is any object that once projected or dropped continues in motion by its own, and is influenced only by the downward force of gravity. There are a number of examples of projectiles, such as
an object dropped from rest, an object that is thrown vertically upward, and an object
which is thrown upward at an angle to the horizontal is also a projectile. Since a projectile
is an object that only has a single force acting on it, the free-body diagram of a projectile
would show only a single force acting downwards; labeled force of gravity. Regardless of
which direction a projectile is moving, the free-body diagram of the projectile is still as
depicted in the diagram at the right.
In the case of projectiles, one can use information about the initial velocity and position of a projectile to predict such things as how much time the projectile is in the air and how...

...Class XI
Exercise 4 – Motion in a Plane
Physics
Question 4.1:
State, for each of the following physical quantities, if it is a scalar or a vector:
volume, mass, speed, acceleration, density, number of moles, velocity, angular
frequency, displacement, angular velocity.
Answer:
Scalar: Volume, mass, speed, density, number of moles, angular frequency
Vector: Acceleration, velocity, displacement, angular velocity
A scalar quantity is specified by its magnitude only. It does not have any direction
associated with it. Volume, mass, speed, density, number of moles, and angular
frequency are some of the scalar physical quantities.
A vector quantity is specified by its magnitude as well as the direction associated
with it. Acceleration, velocity, displacement, and angular velocity belong to this
category.
Question 4.2:
Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average
velocity, magnetic moment, relative velocity.
Answer
Work and current are scalar quantities.
Work done is given by the dot product of force and displacement. Since the dot
product of two quantities is always a scalar, work is a scalar physical quantity.
Current is described only by its magnitude. Its direction is not taken into account.
Hence, it is a scalar quantity.
Question 4.3:
Pick out the only vector quantity in the following list:
Temperature, pressure, impulse, time,...

...of the students motion matches the given graph.
Graph 01b:
Graph 01d:
Graphical Analysis of Motion:
A student is asked to walk on a straight line for 10s and measure the distance and then solve for the Total displacement, Average Velocity, Instantaneous Velocity. Table 3.1 shows the calculations and results
Table 3.1
Reaction Time:
Time | Total Displacement | Average Velocity | Instantaneous Velocity |
1 | 1 m | 1 m/s | 2 m/s |
2 | 1.98 m | 0.99 m/s | 1.96 m/s |
3 | 2.48 m | 0.83 m/s | 1.66 m/s |
4 | 2.88 m | 0.72 m/s | 1.44 m/s |
5 | 3.66 m | 0.73 m/s | 1.46 m/s |
6 | 4.51 m | 0.75 m/s | 1.50 m/s |
7 | 5.14 m | 0.74 m/s | 1.48 m/s |
8 | 5.54 m | 0.69 m/s | 1.38 m/s |
9 | 6.25 m | 0.69 m/s | 1.38 m/s |
10 | 6.88 m | 0.69 m/s | 1.38 m/s |
This experiment made one of a student catch a meter stick with the use of a thumb and index finger. The student positioned his/her thumb at 50 cm. another experiment is when the student was disturbed while catching the meter stick.
The group used the given formula to calculate the reaction time of each student.
Student | Reaction Time (s) | Reaction Time While Calling (s) |
1 | 0.36 s | 0.37 s |
2 | 0.36 s | 0.38 s |
3 | 0.40 s | 0.41 s |
4 | 0.37 s | 0.41 s |
5 | 0.37 s | 0.42 s |
Human Motion
Most human movement is general motion, a complex combination of lin- ear and angular motion components....

...Projectilemotion
into physics
Objective:
Our purpose for this lab was to observe projectilemotion 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 constantmotion and 1/2at^2 will produce distance traveled due to accelerated motion or gravity in this case.
Introduction:
Projectilemotion 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...

...Determining the Maximum Distance Travelled Using ProjectileMotion
November 05, 2012
Faustin Combe
Alex Gazso
Maria Henriquez
Abstract:
This experiment determined the maximum distance a projectile can travel in the best angle range by shooting a projectile at various angles then measuring the distance travelled. This experiment used a toy gun, Nerf N-Strike Jolt Ex-1, which was attached to a wooden structure with a u-hook suspension and protractor. The toy gun was shot in variety of angles, afterward; measuring the distance it travelled from the wooden structure to the place it dropped.
Introduction:
A “projectile” is defined as an object subject only to the force of gravity and no other forces. For example, arrows, darts, and bullets are considered projectiles. Parabolic motion has been studied for a long time dating all the way back to the time in which Galileo was conducting experiments. He accurately described projectilemotion as objects in motion through air in two dimensions near the earth’s surface. The purpose of this experiment is to determine the best angle measurement that covers the farthest distance by shooting a projectile in different angles. The method used to determine the maximum distance travelled is using a wood structure with a u-hook suspension attached with a protractor and a...

...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 t-1gt2
0 0y In terms of the angle θ, and the initial speed vo, the initial velocity components are
v0x=v0cosθand v0y=v0sinθ...