4. A penny is dropped from the top of the tallest radio tower in the U.S., the KVLY-TV tower in North Dakota (629 meters). Neglecting wind resistance, the position function of the object in meters can be described by the equation: s(t)= -4.91 +629 a) What is the average speed of the penny from t = 0s to t= 2s? b) At what time does the object hit the ground (s = 0)? Note: time is in seconds = ? c) Determine the velocity as function of time: v(t)= dt d) How fast is the object traveling (meters/second) when it hits the ground? Next, multiply your answer by 2.2369363 to convert to mph, round to nearest integer.
4. A penny is dropped from the top of the tallest radio tower in the U.S., the KVLY-TV tower in North Dakota (629 meters). Neglecting wind resistance, the position function of the object in meters can be described by the equation: s(t)= -4.91 +629 a) What is the average speed of the penny from t = 0s to t= 2s? b) At what time does the object hit the ground (s = 0)? Note: time is in seconds = ? c) Determine the velocity as function of time: v(t)= dt d) How fast is the object traveling (meters/second) when it hits the ground? Next, multiply your answer by 2.2369363 to convert to mph, round to nearest integer.
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:4.
A penny is dropped from the top of the tallest radio tower in the U.S., the KVLY-TV
tower in North Dakota (629 meters). Neglecting wind resistance, the position function of
the object in meters can be described by the equation: s(t)= -4.91 +629
a) What is the average speed of the penny from t = 0s to t= 2s?
b) At what time does the object hit the ground (s = 0)?
Note: time is in seconds
= ?
c) Determine the velocity as function of time: v(t)=
dt
d) How fast is the object traveling (meters/second) when it hits the ground?
Next, multiply your answer by 2.2369363 to convert to mph, round to nearest integer.
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