A stone is thrown from the top of a 200 m cliff. The height of the stone relative to the ground is represented by the formula (shown in the image). The time t is in seconds and the height h in meters. A) Calculates its initial speed (instant variation rate at 0s.). B) Calculates the average rate of change for the first two seconds. C) Calculates the rate of instantaneous change at 2 seconds. D) From the results obtained in a), b) and c), describe the displacement of the stone.
A stone is thrown from the top of a 200 m cliff. The height of the stone relative to the ground is represented by the formula (shown in the image). The time t is in seconds and the height h in meters. A) Calculates its initial speed (instant variation rate at 0s.). B) Calculates the average rate of change for the first two seconds. C) Calculates the rate of instantaneous change at 2 seconds. D) From the results obtained in a), b) and c), describe the displacement of the stone.
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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A stone is thrown from the top of a 200 m cliff. The height of the stone relative to the ground is represented by the formula (shown in the image). The time t is in seconds and the height h in meters.
A) Calculates its initial speed (instant variation rate at 0s.).
B) Calculates the average rate of change for the first two seconds.
C) Calculates the rate of instantaneous change at 2 seconds.
D) From the results obtained in a), b) and c), describe the displacement of the stone.
Transcribed Image Text:h(t) = −5t² + 20t+200
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