Parametric Equations 3
View the Lesson | MATHguide homepage Updated June 22nd, 2023


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Problem:Create a parametric function that defines the height (in feet) of a falling object that lands in exactly 8 seconds. You need only traverse backward through the work from the last quizmaster (see Parametric Equations 2).
 
Solution:
y(t) = -16(t - )(t + )
y(t) = -16(t2 - )
y(t) = -16t2 +
The object whose height is defined by y(t) above will stay in the air for exactly 8 seconds.