If an object is dropped from a 674-foot-high building, its position (in feet above the ground) is given by d(t)=−16t^2+674, where t is the time in seconds since it was dropped. a. Compute d′(t). What units are associated with the derivative, and what does it measure? b. When will the object hit the ground? c. What is the velocity of the object when it strikes the ground (in mi/hr)?
If an object is dropped from a 674-foot-high building, its position (in feet above the ground) is given by d(t)=−16t^2+674, where t is the time in seconds since it was dropped. a. Compute d′(t). What units are associated with the derivative, and what does it measure? b. When will the object hit the ground? c. What is the velocity of the object when it strikes the ground (in mi/hr)?
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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If an object is dropped from a 674-foot-high building, its position (in feet above the ground) is given by
d(t)=−16t^2+674,
where t is the time in seconds since it was dropped.a. Compute d′(t). What units are associated with the derivative, and what does it measure?
b. When will the object hit the ground?
c. What is the velocity of the object when it strikes the ground (in
mi/hr)?
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