Acceleration Engineering First Semester

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SUMMARY

The discussion revolves around the analysis of the position function x(t) = 4(m·s)t^(-1) + 10m, which describes the motion of a mass point. Participants seek to determine the velocity and acceleration at t = 1s by differentiating the position function. The correct approach involves calculating the derivative of the position function to find the velocity function and evaluating it at the specified time. The discussion emphasizes the importance of correctly formulating the position equation for accurate analysis.

PREREQUISITES
  • Understanding of calculus, specifically differentiation
  • Familiarity with kinematic equations in physics
  • Knowledge of basic physics concepts such as velocity and acceleration
  • Ability to interpret mathematical functions and their graphical representations
NEXT STEPS
  • Learn how to differentiate functions in calculus
  • Study kinematic equations and their applications in physics
  • Explore the relationship between position, velocity, and acceleration
  • Practice solving motion problems involving derivatives
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and calculus, as well as educators seeking to enhance their teaching methods in these subjects.

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 :)
 

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