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Amy and Allison are both running toward the soccer ball during a game.

 

Amy's path is represented by the parametric equations x(t)=42+2/3t,y(t)=8+1/6t, where t is on the interval [0,50] and t is measured in tenths of seconds. Allison's path is represented by the parametric equations x(t)=12+t,y(t)=5+1/4t, where t is on the interval [0,50] and t is measured in tenths of seconds.

 

Do the girls collide? If so, when do they collide?

  • Amy and Allison do not collide.
  • Amy and Allison collide at 3.6 seconds.
  • Amy and Allison collide at 2.4 seconds.
  • Amy and Allison collide at 4.8 seconds.
 May 7, 2020
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try using a graphing calculator and graph both equations, and find the points where they intersect. 

 May 7, 2020

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