How can you let Initial position and initial velocity be equal to zero?

In summary, the conversation discusses the concept of initial conditions, specifically how both initial position and initial velocity are equal to zero at time = 0. This means that the object is at rest and has not yet started moving. As time goes on, both velocity and position change as the object accelerates. The equations provided are valid for all time t ≥ 0 and can only have one set of initial conditions, which is the state of the object at time t = 0.
  • #1
Miike012
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How can you let Initial position and initioal velocity be equal to zero? I understand that it will be zero at time = 0, but as time goes on from 1, 2 , 3 , 4 won't it change? I underlined that it in read in the picture?
 

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  • #2
Right, well what you are looking at is at rest.

At rest, 0, the velocity is 0 because it is not moving yet. Since it hasn't moved yet, position is 0 as well. As time goes on, and the object accelerates to produce a velocity, both its velocity and position change.

Hopefully this helps.
 
  • #3
when you drop something the instant it leaves what is it velocity. The position can be measure were ever you want so assign it the value of zero. Yes position and velocity will change.
 
  • #4
The initial conditions are, well, the initial conditions! The time variable has value zero only once. The rock starts falling only once.

The equations provided are true for all time [itex] t \geq 0 [/itex], and they can have only one set of initial conditions: whatever the state of affairs is at time t = 0.
 
  • #5
thank you
 
Last edited:

Related to How can you let Initial position and initial velocity be equal to zero?

1. What is the significance of setting the initial position and initial velocity to zero?

Setting the initial position and initial velocity to zero is a common practice in physics and engineering problems. This initial condition allows us to simplify the equations of motion and solve for the final position and velocity without having to consider any initial acceleration. It also helps to establish a reference point for measuring the motion of an object.

2. Can the initial position and initial velocity ever be non-zero?

Yes, there are situations where the initial position and initial velocity cannot be assumed to be zero. For example, in projectile motion problems, an object is usually launched from a certain height with a certain initial velocity. In these cases, the initial position and initial velocity must be given in order to accurately solve for the motion of the object.

3. How does setting the initial position and initial velocity to zero affect the motion of an object?

Setting the initial position and initial velocity to zero does not affect the motion of an object in any way. It simply helps us to simplify the equations of motion and make calculations easier. The motion of an object is determined by other factors such as external forces, mass, and the nature of the motion itself.

4. Are there any limitations to setting the initial position and initial velocity to zero?

Yes, there are limitations to this assumption. It is only valid for certain types of motion, such as constant velocity or free-fall motion. In cases where the motion is not constant or there are external forces acting on the object, the initial position and initial velocity cannot be assumed to be zero.

5. Can I change the initial position and initial velocity to non-zero values if necessary?

Yes, in some cases, it may be necessary to change the initial position and initial velocity to non-zero values. This could happen if the object is not starting from rest or if there are external forces acting on the object. It is important to carefully consider the initial conditions and make sure they accurately reflect the situation being studied.

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