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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)</P> 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 d...
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