10) A block attached to a spring slides back and forth on a flat table (as in the diagram). Its position x (meters from equilibrium) at time t (seconds) is x=8sin(nt/6). a) if x is positive, what does that mean? dx dx b) if is positive, what does that mean? if is 0, what does that mean? dt dt c) find the position at 1sec and at 3sec.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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9) The cost C in dollars
cost
pots (th
10) A block attached to a spring slides back and forth on a flat table (as in
the diagram). Its position x (meters from equilibrium) at time t
(seconds) is x=8sin(лt/6).
a) if x is positive, what does that mean?
dx
b) if is positive, what does that mean? if is 0, what does that mean?
dt
dx
dt
TOVUZ
c) find the position at 1sec and at 3sec.
d) find the displacement (change in position) between t=1 and t=3
e) find the average velocity (rate of position per time) between t-1 and t=3
f) find the velocity at time t=1
equilibrium
position
0
Transcribed Image Text:9) The cost C in dollars cost pots (th 10) A block attached to a spring slides back and forth on a flat table (as in the diagram). Its position x (meters from equilibrium) at time t (seconds) is x=8sin(лt/6). a) if x is positive, what does that mean? dx b) if is positive, what does that mean? if is 0, what does that mean? dt dx dt TOVUZ c) find the position at 1sec and at 3sec. d) find the displacement (change in position) between t=1 and t=3 e) find the average velocity (rate of position per time) between t-1 and t=3 f) find the velocity at time t=1 equilibrium position 0
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