2) The height (in feet) of an object that has fallen for t seconds from a height of 800 feet is given by s(t) =-16t +800. The velocity at time t = a seconds is given by lim S(a)– s(t) . a-t a) A construction worker drops a water bottle from a height of 800 feet. How fast will the water bottle be falling after 3 seconds? b) When will the water bottle hit the ground? At what velocity will the water bottle 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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2) The height (in feet) of an object that has fallen for t seconds from a height of 800 feet is given by
s(a) - s(t) .
s(t) = -16t +800. The velocity at time t = a seconds is given by lim
a-t
a) A construction worker drops a water bottle from a height of 800 feet. How fast will the water bottle be
falling after 3 seconds?
b) When will the water bottle hit the ground? At what velocity will the water bottle impact the ground?<
Transcribed Image Text:2) The height (in feet) of an object that has fallen for t seconds from a height of 800 feet is given by s(a) - s(t) . s(t) = -16t +800. The velocity at time t = a seconds is given by lim a-t a) A construction worker drops a water bottle from a height of 800 feet. How fast will the water bottle be falling after 3 seconds? b) When will the water bottle hit the ground? At what velocity will the water bottle impact the ground?<
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