Projectile Motion

background [prelab assignment (10 points) due at the begining of lab]

1. relate range of projectile motion as a function of (i) angle of launch, (ii) initial velocity, and (iii) height of launcher

2. use propagation of error to estimate SD in range based on SD in initial velocity and assume SD in launch angle is one degree

purpose

determine the inital velocity of the projectile; mean & SD; use propagation of errors to estimate SD in range

using the preceding information, angle of launch, and other relevant information, predict / calculate the projectile's range at a specific launch angle

compare experimental and calculated value of the range of the projectile at a single, specfic launch angle; use preceding SD from propagation of error analysis

develop your group cooperation / organization skills

materials

station 1: photogate

station 2: launcher

meter stick

methods / data analysis

student design

based on the Central limit theorem, as appropriate, each student in a group does their own data generation and subsequent analysis, then shares their results within a group

content of lab report [45 points; up to 2 weeks to work on lab report]

photogate lab data analysis [20 points]

experimentally determine initial velocity & height of launch

measure range of projectile motion

calculate range based on preceding determination

statistical analysis comparing theory versus experiment

launcher lab data analysis [20 points]

experimentally determine initial velocity, height of launch, & angle of launch

measure range of projectile motion

calculate range based on preceding determination

statistical analysis comparing theory versus experiment

error analysis [5 points]

resources

projectile motion lab using

photogate

launcher

statistics background: see resources in earlier lab

statistical tests: mathematica; recommend not using versions prior to Excel 2010 (1; 2)

optional: factors affecting accuracy in artillery range (1; 2)