The path of a marble rolling off of a desk can be modeled by the parametric equations: x(t)=2.5t y(t)=−16t2+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. A. The marble will hit the ground after how many seconds? B. Using your answer to (A), how far (horizontally) from the edge of the table will the marble first hit the ground? The parametric equations above can be expressed as the following single rectangular equation:
The path of a marble rolling off of a desk can be modeled by the parametric equations: x(t)=2.5t y(t)=−16t2+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. A. The marble will hit the ground after how many seconds? B. Using your answer to (A), how far (horizontally) from the edge of the table will the marble first hit the ground? The parametric equations above can be expressed as the following single rectangular equation:
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter6: Equations
Section6.4: Parametric Equations And Further Graphing
Problem 61PS
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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)=−16t2+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.
A. The marble will hit the ground after how many seconds?
B. Using your answer to (A), how far (horizontally) from the edge of the table will the marble first hit the ground?
The parametric equations above can be expressed as the following single rectangular equation:
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