Engineering Acceleration Engineering First Semester

AI Thread Summary
The discussion revolves around analyzing the motion of a mass point described by the position function x(t) = 4(m·s)t^(-1) + 10m. Participants seek to determine the direction of speed and acceleration at t = 1 s, as well as whether the velocity is constant and if it changes sign for t > 0. It is confirmed that to find speed, one must differentiate the position function and evaluate it at t = 1. There is some confusion regarding the correct formulation of the position equation, which is clarified during the discussion. Overall, the focus is on applying calculus to understand the motion dynamics of the mass point.
germanmath
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Homework Statement
Acceleration
Relevant Equations
Engineering, biomedical, University
The function x (t) = 4 (m · s) t − 1 + 10 m describes the position of a mass point. In which direction does the speed point at time t = 1 s? Is the amount of speed constant or not? does the velocity function change its sign for t> 0 at some point? And in which direction does the acceleration point at time t = 1 s?

could someone help me please with Solving this task?
 
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Oh of course, I am sorry.

I would say that the mass point positions is in the height of 10m...
To get the speed I assume that I have to do the derivitation and then I have to calculate the speed for the value of t=1. is it right?
 
germanmath said:
Oh of course, I am sorry.

I would say that the mass point positions is in the height of 10m...
To get the speed I assume that I have to do the derivitation and then I have to calculate the speed for the value of t=1. is it right?
Is the formula supposed to be? $$x(t) = (4 m/s)(t-1s) + 10m$$ In any case, you get the velocity from the position by differentiation.
 
No, I am sorry I didnt noticed that it is incorrectly. The formula is supposed to be: x(t) =4(m*s)(t^-1) +10meter

okey thanks a lot for your answer :)
 
Thread 'Have I solved this structural engineering equation correctly?'

Thread 'Have I solved this structural engineering equation correctly?'

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