Use the position function s(t) = −16t2 + 500, which gives the height (in feet) of an object that has fallen for t seconds from a height of 500 feet. The velocity at time t = a seconds is given by lim s(a) − s(t)/ a − t t→a A construction worker drops a full paint can from a height of 500 feet. When, in seconds, will the paint can hit the ground? At what velocity, in feet per second, will the paint can impact the ground?
Use the position function s(t) = −16t2 + 500, which gives the height (in feet) of an object that has fallen for t seconds from a height of 500 feet. The velocity at time t = a seconds is given by lim s(a) − s(t)/ a − t t→a A construction worker drops a full paint can from a height of 500 feet. When, in seconds, will the paint can hit the ground? At what velocity, in feet per second, will the paint can impact the ground?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
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Use the position function
s(t) = −16t2 + 500,
which gives the height (in feet) of an object that has fallen for t seconds from a height of 500 feet. The velocity at time
t = a seconds
is given bylim s(a) − s(t)/ a − t
t→a
t→a
A construction worker drops a full paint can from a height of 500 feet. When, in seconds, will the paint can hit the ground?
At what velocity, in feet per second, will the paint can impact the ground?
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