The path of a marble rolling off of a desk can be modeled by the parametric equations: x(t}=2.5t y(t)=-16t^2+3 In these equations, the horizontal and vertical positions of the marble x(t) and y(t) are in feet and t is measured in seconds. Use Desmos and scratch paper to complete the following prompts. A. The marble will hit the ground after how many seconds? =0.433 seconds. B. Using your answer to (A), how far (horizontally) from the edge of the table will the marble first hit the ground? C. The parametric equations above can be expressed as the following single rectangular equation:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The path of a marble rolling off of a desk can be modeled by the parametric equations: x(t)=2.5t
y(t)=-16t^2+3 In these equations, the horizontal and vertical positions of the marble x(t) and y(t) are in feet
and t is measured in seconds. Use Desmos and scratch paper to complete the following prompts. A. The
marble will hit the ground after how many seconds? z0.433 seconds. B. Using your answer to (A), how far
(horizontally) from the edge of the table will the marble first hit the ground? C. The parametric equations
above can be expressed as the following single rectangular equation:
Transcribed Image Text:The path of a marble rolling off of a desk can be modeled by the parametric equations: x(t)=2.5t y(t)=-16t^2+3 In these equations, the horizontal and vertical positions of the marble x(t) and y(t) are in feet and t is measured in seconds. Use Desmos and scratch paper to complete the following prompts. A. The marble will hit the ground after how many seconds? z0.433 seconds. B. Using your answer to (A), how far (horizontally) from the edge of the table will the marble first hit the ground? C. The parametric equations above can be expressed as the following single rectangular equation:
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