HELP! Oscillation Problem Solution

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The discussion revolves around solving an oscillation problem defined by the equation y(t)=2.0cos(0.5t+pi/4) meters. Key points include finding maximum acceleration and speed, as well as the object's position at these maxima. Participants clarify that maximum values occur when the cosine function equals one, and the velocity and acceleration can be determined through their respective derivatives. There is confusion regarding how to calculate speed at a specific position and the need for mass to compute kinetic and potential energy. The conversation emphasizes understanding the definitions of maximum values in the context of oscillatory motion.
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HELP!A problem on oscillation

Homework Statement
the equation of motion of an object is y(t)=2.0cos(0.5t+pi/4)meter
a) Find its maximum acceleration and maximum speed, and its position at the time of these maxima.
b) what is the speed of the object when it is +1.2m from its equilibrium position?
c) what are the kinetic potntial and total energies at that point?


The attempt at a solution
a) for this part I don't reall understand what does the question mean by the maximum, is it when cos equals to 1?
b) derive 2.0cos(0.5t+pi/4), which equals to -2sin(0.5t+pi/4)*0.5=-1sin(0.5t+pi/4)
then plug the 1.2 into the unknown variable, which equals to -sin(0.5*1.2+pi/4)=-0.98 I don't really think it is the correct solution for this part
c) I have to find out the correct v from part B and plug into both kinetic and potential energy equation, but I have one more problem here, which is how do i get mass for this question?
P((1/2mv^2)i) + K(1/2mv^2)i) = P((1/2mv^2)f) + K(1/2mv^2)f)

Thank you for helping me.
 
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You're given the equation for motion.

velocity is the first derivative.

acceleration is the second derivative.

At what value of t then do each of these functions reach their max?
 


LowlyPion said:
You're given the equation for motion.

velocity is the first derivative.

acceleration is the second derivative.

At what value of t then do each of these functions reach their max?

Sorry, but i still don't quite understand what does max mean, does it mean that when cos or sin equals to 1?
 


Kudo Shinichi said:
Sorry, but i still don't quite understand what does max mean, does it mean that when cos or sin equals to 1?

I'd say so.
 
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