Andy and Donald are both running toward the soccer ball during a game. Andy's path is represented by the parametric equations z (t) = 24 +, y(t) = 8 + ¿t, where t is on the interval (0, 50] and t is measured in tenths of seconds. Donald's path is represented by the parametric equations z (t) = 12+ t, y (t) = 5 + †t, where t is on the interval [0, 50] and t is measured in tenths of seconds. Do the boys collide? If so, when do they collide? O Andy and Donald collide at 4.8 seconds. O Andy and Donald collide at 3.6 seconds. O Andy and Donald collide at 2.4 seconds. O Andy and Donald do not collide.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 53E
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Andy and Donald are both running toward the soccer ball during a game.
Andy's path is represented by the parametric equations z (t) = 24 +, y(t) = 8 + ¿t, where t is
on the interval (0, 50] and t is measured in tenths of seconds.
Donald's path is represented by the parametric equations z (t) = 12+ t, y (t) = 5 + †t, where t is
on the interval [0, 50] and t is measured in tenths of seconds.
Do the boys collide? If so, when do they collide?
O Andy and Donald collide at 4.8 seconds.
O Andy and Donald collide at 3.6 seconds.
O Andy and Donald collide at 2.4 seconds.
O Andy and Donald do not collide.
Transcribed Image Text:Andy and Donald are both running toward the soccer ball during a game. Andy's path is represented by the parametric equations z (t) = 24 +, y(t) = 8 + ¿t, where t is on the interval (0, 50] and t is measured in tenths of seconds. Donald's path is represented by the parametric equations z (t) = 12+ t, y (t) = 5 + †t, where t is on the interval [0, 50] and t is measured in tenths of seconds. Do the boys collide? If so, when do they collide? O Andy and Donald collide at 4.8 seconds. O Andy and Donald collide at 3.6 seconds. O Andy and Donald collide at 2.4 seconds. O Andy and Donald do not collide.
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