A rock is dropped off the edge of a cliff and its distances (in feet) from the top of the cliff after t seconds is s(t) = 16t². Assume the distance from the top of the cliff to the water below is 784 ft. Complete parts a and b below. a. When will the rock strike the water? The rock will strike the water at 7 seconds. (Simplify your answer.) b. Make a table of average velocities and approximate the velocity at which the rock strikes the water. [6, 7] [6.5, 7] [6.9, 7] [6.99, 7] [6.999, 7] Time Interval Average Velocity ft sec

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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A rock is dropped off the edge of a cliff and its distances (in feet) from the top of the cliff after t seconds is
s(t) = 16t². Assume the distance from the top of the cliff to the water below is 784 ft. Complete parts a and b
below.
a. When will the rock strike the water?
The rock will strike the water at 7 seconds.
(Simplify your answer.)
b. Make a table of average velocities and approximate the velocity at which the rock strikes the water.
[6, 7]
[6.5, 7]
[6.9, 7]
[6.99, 7]
[6.999, 7]
Time Interval
Average Velocity
ft
sec
Transcribed Image Text:A rock is dropped off the edge of a cliff and its distances (in feet) from the top of the cliff after t seconds is s(t) = 16t². Assume the distance from the top of the cliff to the water below is 784 ft. Complete parts a and b below. a. When will the rock strike the water? The rock will strike the water at 7 seconds. (Simplify your answer.) b. Make a table of average velocities and approximate the velocity at which the rock strikes the water. [6, 7] [6.5, 7] [6.9, 7] [6.99, 7] [6.999, 7] Time Interval Average Velocity ft sec
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