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?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.5: Graphing Rational Functions
Problem 36PS
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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?
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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