Graphical And Mathematical Representation

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Graphical and Mathematical Representation

Question:

Find the graphical and mathematical representation of an object shot from a slingshot.

Apparatus:

See attached paper for apparatus.

Method/Procedure Summary:

- Gather a slingshot, ball, tape, measure tool, table, scale, stopwatch, protractor on a table
- Keep the slingshot from moving around on the table by applying tape
- Put the ball on the slingshot and measure the distance it is pulled back and keep the - distance consistent
- Measure the weight of ball in kilometers
- Measure the angle of the launch (independent)
- Launch the ball using the slingshot while measuring the time in seconds (dependent)
- Measure how far the ball traveled horizontally in meters(dependent)
- Repeat steps 5-7 for 6 trials

Data:

pull length: 0.05 (m)
ball: 0.0023 (kg)

angle (°)     horiz dis (m)     time (s)     horiz vel (m/s)
5         0.46         0.21         2.19
10         0.83         0.39         2.13
20         1.41         0.69         2.04
30         1.80         0.88         2.05
40         1.98         0.98         2.02
45         2.00         0.99         2.02
90         0.00         1.02         0.00

horiz vel (m/s) = horiz dis (m) / time (s)

Analysis:

See attached paper for graphs, motion maps, interaction schemes, force diagram.

The horizontal and vertical velocities and displacement are independent of each other. To reach a maximum vertical displacement, a 90° angle of launch must be used. To reach a maximum horizontal displacement, a 45° angle of launch must be used. To reach a maximum time of flight, a 45° and 90° angle of launch must be used.

Horizontal displacem...

Submitted by: digitalessays
Date Submitted: 09-04-01 7:07pm
Category: Social Issues
Words: 400
Pages: 1.6