Physics Laboratory 3

Projectile motion

Exercise

The New York Giants are tied with the Chicago Bears with only a few seconds left in the game.  The Giants have the football and call the place kicker into the game.  He must kick the ball 52 yards (47.5 m) for a field goal. 

If the crossbar of the goal is 10 ft (3.05 m) high, and the maximum speed with which the kicker can kick the ball is 25 m/s, which range of angles (in deg) will allow him to score the field goal?

Solve this problem using a spreadsheet.  Produce a spreadsheet with 5 columns.

v0 (m/s) Angle (deg) t (s) x (m) y(m)

Hint:  Download this spreadsheet to get started.

The first two columns each contain one entry each.  Construct your spreadsheet so that when you change these numbers, the numbers in the next three columns will be updated.  The time steps in the t(s) column should be on the order of 0.1 s or smaller.  The entries in the x(m) and y(m) columns are calculated as a function of time using the kinematic equations.

In one full sentence answer the question posed in the problem.


Experiment

Projectile motion is motion in two dimensions under the influence of a constant force.  It is hard to get detailed information about its motion without using external measuring instruments.  In this experiment the instrument is a video camera.  You will analyze a video clip.  The clip shows a person throwing a ball.  You will determine the position of the ball in two dimensions as a function of time by stepping through the video clip frame-by-frame and by reading the time and the position coordinates of the ball off each frame.  You will construct a spreadsheet with columns for time and position and use this spreadsheet to find the x and y component of the velocity as a function of time.

Procedure:

To play the video clip or to step through it frame-by-frame click the "Begin" button.  The "Video Analysis" web page will open.  Choose one of the throw_x.avi video clips.

Begin

Produce graphs of the x and y components of position versus time.  Label the axes.

Paste your graphs with trendlines into your log.


Convert your log into a lab report.

Name:
E-mail address:

Laboratory 3 Report

Save your Word document (your name_lab3.docx), go to Canvas, Assignments, Lab 3, and submit your document.