Finding a Particle's Position with Given Velocity and Time

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In summary, the problem involves finding the position of a particle on the x-axis, given by the function f(x) = (t^2 - 2t + 4), when its velocity is 4m/s. Using the equation sf = si + vi(tf - ti) + .5a(tf - ti)^2, we can solve for t by taking the derivative of f(x) and setting it equal to the given velocity of 4m/s. This results in t = 3. Plugging this value into the position function, we get sf = 0 + 0(3) + .5(4/3)(3^2), which simplifies to sf = 4. Therefore, the particle
  • #1
ms245004
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Solving for position... please help

Homework Statement


A particle's position on the x-axis is given by the function f(x) = (t^2 - 2t +4) where t is given in s. Where is particle at v= 4m/s?

Homework Equations


f(x) = (t^2 - 2t +4)
sf = si + vi(tf -ti) + .5a(tf-ti)^2

The Attempt at a Solution


d/dx f(x)= 2t - 2 = 4
2t = 6
t = 3
sf= 0 + 0(3) + .5(4/3)(3^2)
 
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  • #2


Welcome to Physics Forums :smile:

ms245004 said:

Homework Statement


A particle's position on the x-axis is given by the function f(x) = (t^2 - 2t +4) where t is given in s. Where is particle at v= 4m/s?

Homework Equations


f(x) = (t^2 - 2t +4)
sf = si + vi(tf -ti) + .5a(tf-ti)^2

The Attempt at a Solution


d/dx f(x)= 2t - 2 = 4
2t = 6
t = 3
Looks good so far.
sf= 0 + 0(3) + .5(4/3)(3^2)
Where does that come from? Just use the f(t) given in the problem statement and the value of t you found.
 
Last edited:
  • #3


Thank you so much. That worksed perfectly now.
 

Related to Finding a Particle's Position with Given Velocity and Time

What is the purpose of solving for position?

Solving for position is a mathematical process used to determine the exact location of an object or point in space. It is commonly used in fields such as physics, engineering, and astronomy to accurately measure and describe the position of objects.

What are the different methods for solving for position?

There are several methods for solving for position, including using coordinates and trigonometry, using vectors, and using differential equations. Each method has its own advantages and is used depending on the specific problem or situation.

What types of problems can be solved using position?

Position can be used to solve a wide range of problems, such as determining the location of an object in space, calculating the trajectory of a moving object, or finding the distance between two points. It is also used in navigation systems, satellite tracking, and mapping.

What are the key principles behind solving for position?

The key principles behind solving for position involve understanding concepts such as distance, direction, and displacement. It also involves using mathematical equations and formulas to accurately calculate and describe the position of an object.

What are some real-world applications of solving for position?

Solving for position is used in many real-world applications, such as GPS navigation, satellite communication, and aircraft navigation. It is also used in sports tracking devices, geocaching, and surveying. Essentially, any situation that requires accurate determination of location or movement can benefit from solving for position.

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