An object is dropped off a building. Ignoring air resistance, the height above the ground t seconds after being dropped is given by h(t) = -16t2 + 160 feet. (a) Use the limit definition of the derivative to find a rate-of-change equation for the height. h'(t) = feet per second (b) Use the answer to part (a) to determine how rapidly the object is falling after 3 seconds. feet per second

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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An object is dropped off a building. Ignoring air resistance, the height above the ground t seconds after being dropped is given by
h(t) = -16t2 + 160 feet.
(a) Use the limit definition of the derivative to find a rate-of-change equation for the height.
h'(t) =
feet per second
(b) Use the answer to part (a) to determine how rapidly the object is falling after 3 seconds.
feet per second
Transcribed Image Text:An object is dropped off a building. Ignoring air resistance, the height above the ground t seconds after being dropped is given by h(t) = -16t2 + 160 feet. (a) Use the limit definition of the derivative to find a rate-of-change equation for the height. h'(t) = feet per second (b) Use the answer to part (a) to determine how rapidly the object is falling after 3 seconds. feet per second
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