Velocity and height at each time interval

AI Thread Summary
To calculate velocity and height at specified time intervals (1, 2, and 3 seconds), the relevant equation for height is y(t) = equiheight + Amplitude*sin(angfre*t + phaseshift), where the equilibrium height is 3 meters, amplitude is 0.2, angular frequency is 48 rad/s, and phase shift is 60 degrees. The discussion emphasizes the need to substitute the given values into the height equation to find the height at each time interval. For velocity, participants suggest using the definition of velocity and mention that Euler's algorithm is not applicable in this context. The conversation highlights the importance of understanding the relationship between position and velocity to solve the problem effectively.
mastermind1
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Homework Statement



I want to calculate velocity and height at each time interval
Time intervals: 1,2,3 (seconds)

equilibrium height = 3 meters
amplitude = 0.2
angular frequency = 48 rad/s
phase shift = 60


Homework Equations



y(t) = equiheight + Amplitude*sin(angfre*t + phaseshift)

The Attempt at a Solution



I have no idea about where to start. Please help.
 
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Hello MM, and welcome to PF.
You could start with the height, for which you have presented a relevant equation. Nothing stops you from filling in equiheight, Amplitude, angfre, t and phaseshift, right ?
Then, for v you will need another equiation. No idea whatsoever ?
 
BvU said:
Hello MM, and welcome to PF.
You could start with the height, for which you have presented a relevant equation. Nothing stops you from filling in equiheight, Amplitude, angfre, t and phaseshift, right ?
Then, for v you will need another equiation. No idea whatsoever ?

Exactly. I know what you are saying about plugging everything in. What if we use Euler's algorithm to find the answer ? Any ideas about that ?
 
No can do: In the first place it isn't mentioned under 2. Homework Equations . :smile:
And if it were, why on Earth would it belong there ?

Do you know what to do to determine the velocity when an expression for the position is given ?
(Hint: consider the definition of velocity)

Euler's algorithm is for numerical integration.

[edit] And: if you "know what you are saying about plugging everything in", please show it, just to be sure things go alright...
 
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