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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