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.  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. Graph the equation

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 54P: A ball is thrown with an initial speed vi at an angle i with the horizontal. The horizontal range of...
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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. State the domain and range for each parametric equation.
  2. Plot the minimum and maximum heights of the dart.
  3. Plot the minimum and maximum horizontal positions of the dart.
  4. Find the time at which the dart reaches the maximum height.
  5. Graph the equation
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