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5. Suppose a stone is thrown vertically upward from the edge of a cliff on Earth with an init velocity of 32 ft/sec. from a height of 48ft above the ground. The height in feet of the st above the ground t seconds after it is thrown is s(t) = -16t2 + 32t + 48. a. Determine the velocity t seconds after it is thrown. b. What is the velocity of the stone when the stone reaches its highest point? c. When does the stone hit the ground?

5. Suppose a stone is thrown vertically upward from the edge of a cliff on Earth with an init velocity of 32 ft/sec. from a height of 48ft above the ground. The height in feet of the st above the ground t seconds after it is thrown is s(t) = -16t2 + 32t + 48. a. Determine the velocity t seconds after it is thrown. b. What is the velocity of the stone when the stone reaches its highest point? c. When does the stone hit the ground?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. Suppose a stone is thrown vertically upward from the edge of a cliff on Earth with an init velocity of 32 ft/sec. from a height of 48ft above the ground. The height in feet of the st above the ground t seconds after it is thrown is s(t) = -16t² + 32t + 48. a. Determine the velocity t seconds after it is thrown. b. What is the velocity of the stone when the stone reaches its highest point? c. When does the stone hit the ground? d. With what velocity does the stone hit the ground?
Transcribed Image Text:5. Suppose a stone is thrown vertically upward from the edge of a cliff on Earth with an init velocity of 32 ft/sec. from a height of 48ft above the ground. The height in feet of the st above the ground t seconds after it is thrown is s(t) = -16t² + 32t + 48. a. Determine the velocity t seconds after it is thrown. b. What is the velocity of the stone when the stone reaches its highest point? c. When does the stone hit the ground? d. With what velocity does the stone hit the ground?
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