Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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A rock released fromrest to fall on a small airless planet falls y = gt 2 m in t sec, g aconstant. Suppose that the rock falls to the bottom of a crevasse20 m below and reaches the bottom in 4 sec.
(a) Find the value of g.
(b) Find the average speed for the fall.
(c) With what speed did the rock hit the bottom?
EX-3- A particle moves along a straight line so that after t
(seconds) , its distance from O a fixed point on the line is s
(meters), where s=t' – 3tť + 2t :
i) when is the particle at O ?
ii) what is its velocity and acceleration at these times ?
iii) what is its average velocity during the first second ?
iv) what is its average acceleration between t= 0 and t= 2 ?
6. An ant crawls along a linear path with a velocity of v(t) = cos(3t) inches per minute.
(a) What is the ant's displacement on the time interval [0, 7/2]? Include units.
(b) How far did the ant travel on the time interval [0, 7/2]? Include units.
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