6. If an object is dropped from a 237-foot-high building, its position (in feet above the ground) is given by d(t) = - 16t2 + 237, 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)? a. d'(t) =. The units associated with the derivative are (1). and it measures the (2). of the object. b. The object will hit the ground (Round to two decimal places as needed.) seconds after being dropped. c. The velocity of the object when it strikes the ground is (Round to one decimal place as needed.) 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
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6. If an object is dropped from a 237-foot-high building, its position (in feet above the ground) is given by d(t) = - 16t2 + 237,
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)?
a. d'(t) =
The units associated with the derivative are (1).
and it measures the (2).
of the object.
b. The object will hit the ground
(Round to two decimal places as needed.)
seconds after being dropped.
c. The velocity of the object when it strikes the ground is
(Round to one decimal place as needed.)
mi/hr.
(1) O ft/s?
(2)
time
ft/s
velocity
ft
distance
acceleration
S
Transcribed Image Text:6. If an object is dropped from a 237-foot-high building, its position (in feet above the ground) is given by d(t) = - 16t2 + 237, 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)? a. d'(t) = The units associated with the derivative are (1). and it measures the (2). of the object. b. The object will hit the ground (Round to two decimal places as needed.) seconds after being dropped. c. The velocity of the object when it strikes the ground is (Round to one decimal place as needed.) mi/hr. (1) O ft/s? (2) time ft/s velocity ft distance acceleration S
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