Question
In: Math
The displacement (in centimeters) of a particle moving back and forth along a straight line is...
The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion
s = 3 sin(πt) + 4 cos(πt), where t is measured in seconds. (Round your answers to two decimal places.)
(a) Find the average velocity during each time period.
(i) [1, 2]
_______cm/s
(ii) [1, 1.1]
_______ cm/s
(iii) [1, 1.01]
______ cm/s
(iv) [1, 1.001]
_______cm/s
B) Estimate the instantaneous velocity of the particle when t=1.
Solutions
milcah answered 2 years agoRelated Solutions
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(ii) [3.5, 4]
(iii) [4, 5]
(iv) [4, 4.5]
Suppose a particle is moving right and left in a straight line. Its position, in centimeters,...
Suppose a particle is moving right and left in a straight
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(a) At what t-values is the particle stopped (that is, has a
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(c) Find the acceleration of the object when t = 4.
Suppose a particle is moving right and left in a straight line. Its position, in centimeters,...
Suppose a particle is moving right and left in a straight
line. Its position, in centimeters, at time t seconds is given by
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problem, assume that t ≥ 0.)
(a) At what t-values is the particle stopped (that is, has a
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(b) Over what time interval(s) is the particle moving
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The velocity function for a particle moving along a straight line is given by v(t) =...
The velocity function for a particle moving along a straight
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seconds and v in meters/second. The particle starts at the
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(a) Find the position and acceleration functions for this
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(c) What is the total distance travelled by the particle in the
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The position of a particle moving along the x axis is given in centimeters by x...
The position of a particle moving along the x axis is
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t3, where t is in seconds. Calculate
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t = 2.00 s to t = 3.00 s; (b)
the instantaneous velocity at t = 2.00 s;
(c) the instantaneous velocity at t =
3.00 s; (d) the instantaneous velocity at
t = 2.50 s; and (e) the instantaneous
velocity when the particle is...
2. a. A particle moves in a straight line along with the ? − ???? its...
2. a. A particle moves in a straight line along with the ? −
???? its displacement is given by the equation ?(?) = 5? 3 − 8? 2 +
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(2marks) ii. The acceleration function of the particle at time t.
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The position function of an object moving along a straight line is given by the function...
The position function of an object moving along a
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c) Illustrate the graphical representation for each of
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An object is moving along a straight line, and the uncertainty in its position is 2.20...
An object is moving along a straight line, and the uncertainty
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Find a time t at which the instantaneous velocity is equal
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m at time t seconds. At which non negative times does the
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The velocity function of a particle moving along a line is given by the equation v(t)...
The velocity function of a particle moving along a line is given
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