A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 2323 ft/s. Its height in feet after tt seconds is given by y=23t−16t2y=23t−16t2. a.) Find the average velocity for the time period beginning when t0=1t0=1 second and lasting for the given time. t=.01t=.01 sec: t=.005t=.005 sec: t=.002t=.002 sec : t=.001t=.001 sec: b.) Estimate the instanteneous velocity when t=1t=1.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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 A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 2323 ft/s. Its height in feet after tt seconds is given by y=23t−16t2y=23t−16t2.

a.) Find the average velocity for the time period beginning when t0=1t0=1 second and lasting for the given time.

t=.01t=.01 sec:
t=.005t=.005 sec:
t=.002t=.002 sec :
t=.001t=.001 sec:

b.) Estimate the instanteneous velocity when t=1t=1.

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