A rock is dropped off the edge of a cliff and its distance s (in feet) from the top of the cliff after t seconds is s(t) = 16. Assume the distance from the top of the cliff to the water below is 144 ft. Answer part (a) and (b). (a) When will the rock strike the water? The rock will strike the water at seconds. (Type an integer or a simplified fraction.) (b) Make a table of average velocities and appraximate the velocity at which the rock strikes the water. 2 999, 3 Time Interval Average Velocity (A/sec) (Type an integer or decimal rounded to three decimal places as needed.) 12. 3 25, 3 29. 3 2. 99, 3 The rock strikes the water at approximately t/sec. (Round to the nearest integer as needed)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A rock is dropped off the edge of a cliff and its distance s (in feet) from the top of the cliff after t seconds is s(t) = 16. Assume the distance from the top of the cliff to the water below is 144 ft. Answer part (a) and (b).
(a) When will the rock strike the water?
The rock will strike the water at seconds.
(Type an integer or a simplified fraction.)
(b) Make a table of average velocities and appraximate the velocity at which the rock strikes the water.
2 999, 3
Time Interval
Average Velocity
(A/sec)
(Type an integer or decimal rounded to three decimal places as needed.)
12. 3
25, 3
29. 3
2. 99, 3
The rock strikes the water at approximately t/sec.
(Round to the nearest integer as needed)
Transcribed Image Text:A rock is dropped off the edge of a cliff and its distance s (in feet) from the top of the cliff after t seconds is s(t) = 16. Assume the distance from the top of the cliff to the water below is 144 ft. Answer part (a) and (b). (a) When will the rock strike the water? The rock will strike the water at seconds. (Type an integer or a simplified fraction.) (b) Make a table of average velocities and appraximate the velocity at which the rock strikes the water. 2 999, 3 Time Interval Average Velocity (A/sec) (Type an integer or decimal rounded to three decimal places as needed.) 12. 3 25, 3 29. 3 2. 99, 3 The rock strikes the water at approximately t/sec. (Round to the nearest integer as needed)
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