Use the position function s(t) = –4.9t* + 250, which gives the height (in meters) of an object that has fallen for t seconds from a height of 250 meters. The velocity at time t= a seconds is given by 4. lim 1(0)$1(!) . !→0 O$! а) Find the velocity of the object when t = 4. b) When will the object hit the ground? c) At what velocity will the object impact the ground?
Use the position function s(t) = –4.9t* + 250, which gives the height (in meters) of an object that has fallen for t seconds from a height of 250 meters. The velocity at time t= a seconds is given by 4. lim 1(0)$1(!) . !→0 O$! а) Find the velocity of the object when t = 4. b) When will the object hit the ground? c) At what velocity will the object impact the ground?
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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Use the position function s(t) = -4.9t* + 250, which gives the height (in meters) of an object that has fallen for t
seconds from a height of 250 meters. The velocity at time t= a seconds is given by
4.
lim 1(0)$1(!) .
!→0
O$!
a) Find the velocity of the object when t= 4.
b) When will the object hit the ground?
c) At what velocity will the object impact the ground?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F907b5940-2f6d-4706-97b7-1445d977adb5%2F47c2cfff-92f6-43fd-993d-b6e2c1c4a4f9%2Fjhergle_processed.png&w=3840&q=75)
Transcribed Image Text:!
Use the position function s(t) = -4.9t* + 250, which gives the height (in meters) of an object that has fallen for t
seconds from a height of 250 meters. The velocity at time t= a seconds is given by
4.
lim 1(0)$1(!) .
!→0
O$!
a) Find the velocity of the object when t= 4.
b) When will the object hit the ground?
c) At what velocity will the object impact the ground?
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It can be solved using simple differentiation and limits.
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