For the following exercises, use this scenario: A dart is thrown upward with an initial velocity of 65 mm per second at an angle of elevation of 52°. Consider the horizontal and vertical positions of the dart at any time t. Neglect air resistance. Part I: Complete the following steps: Find parametric equations that model the problem situation. Use the GeoGebra tool to graph the parametric equations. Find all possible values for t that represent the situation.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.1: Radian And Degree Measure
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For the following exercises, use this scenario: A dart is thrown upward with an initial velocity of 65 mm per second at an angle of elevation of 52°. Consider the horizontal and vertical positions of the dart at any time t. Neglect air resistance.

Part I: Complete the following steps:

  1. Find parametric equations that model the problem situation.
  2. Use the GeoGebra tool to graph the parametric equations.
  3. Find all possible values for t that represent the situation.
  4. State the parametric equations.
  5. State the domain and range for each parametric equation.
  6. Plot the minimum and maximum heights of the dart.
  7. Plot the minimum and maximum horizontal positions of the dart.
  8. Find the time at which the dart reaches the maximum height.
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