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. Graph and find parametric equations that model the problem situation. Find all possible values for t that represent the situation. State the parametric equations. Find parametric equations that model the problem situation. Find all possible values for t that represent the situation. State the parametric equations. State the domain and range for each parametric equation. Plot the minimum and maximum heights of the dart. Plot the minimum and maximum horizontal positions of the dart. Find the time at which the dart reaches the maximum height.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter3: Vectors
Section: Chapter Questions
Problem 42PQ: The same vectors that are shown in Figure P3.6 are shown in Figure P3.42. The magnitudes are F1 =...
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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.

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