23. Throwing a stone Suppose a stone is thrown vertically upward from the edge of a cliff on Earth with an initial velocity of 32 ft/s from a height of 48 ft above the ground. The height (in feet) of the stone above the ground t seconds after it is thrown is s(t) = -16t² + 32t + 48. a. Determine the velocity v of the stone after t seconds. b. When does the stone reach its highest point? c. What is the height of the stone at the highest point? d. When does the stone strike the ground? e. With what velocity does the stone strike the ground? f. On what intervals is the speed increasing?
23. Throwing a stone Suppose a stone is thrown vertically upward from the edge of a cliff on Earth with an initial velocity of 32 ft/s from a height of 48 ft above the ground. The height (in feet) of the stone above the ground t seconds after it is thrown is s(t) = -16t² + 32t + 48. a. Determine the velocity v of the stone after t seconds. b. When does the stone reach its highest point? c. What is the height of the stone at the highest point? d. When does the stone strike the ground? e. With what velocity does the stone strike the ground? f. On what intervals is the speed increasing?
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section: Chapter Questions
Problem 22T
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![23. Throwing a stone Suppose a stone is thrown vertically upward
from the edge of a cliff on Earth with an initial velocity of
32 ft/s from a height of 48 ft above the ground. The height
(in feet) of the stone above the ground t seconds after it is thrown
is s(t) = − 16t² + 32t + 48.
a. Determine the velocity v of the stone after t seconds.
b. When does the stone reach its highest point?
c. What is the height of the stone at the highest point?
d. When does the stone strike the ground?
e. With what velocity does the stone strike the ground?
f. On what intervals is the speed increasing?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fafc613be-7d86-4fc7-875f-926e475289ca%2F696f4fcd-4bd6-457f-b380-3944c02b7be0%2F23863mh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:23. Throwing a stone Suppose a stone is thrown vertically upward
from the edge of a cliff on Earth with an initial velocity of
32 ft/s from a height of 48 ft above the ground. The height
(in feet) of the stone above the ground t seconds after it is thrown
is s(t) = − 16t² + 32t + 48.
a. Determine the velocity v of the stone after t seconds.
b. When does the stone reach its highest point?
c. What is the height of the stone at the highest point?
d. When does the stone strike the ground?
e. With what velocity does the stone strike the ground?
f. On what intervals is the speed increasing?
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