6. A rock is dropped from a cliff 100m high. After t seconds, the rock is s meters above the ground, where s(t) = 100 5t², 0≤ t ≤ √20 a) Calculate the average velocity of the rock between the times t = 1 s and t = 3 s. b) Calculate the velocity of the rock at t = 3 s. c) Using the above calculations, explain what is happening to the rock (ie. Speeding up/slowing down).
6. A rock is dropped from a cliff 100m high. After t seconds, the rock is s meters above the ground, where s(t) = 100 5t², 0≤ t ≤ √20 a) Calculate the average velocity of the rock between the times t = 1 s and t = 3 s. b) Calculate the velocity of the rock at t = 3 s. c) Using the above calculations, explain what is happening to the rock (ie. Speeding up/slowing down).
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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Transcribed Image Text:6. A rock is dropped from a cliff 100m high. After t seconds, the rock is s meters above the ground, where
s(t) = 100 5t², 0≤ t ≤ √20
a) Calculate the average velocity of the rock between the times t = 1 s and t = 3 s.
b) Calculate the velocity of the rock at t = 3 s.
c) Using the above calculations, explain what is happening to the rock (ie. Speeding up/slowing down).
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