Relating change in time to change in position and velocity

In summary, the conversation discusses the equation Δt = 2*Δx/(vf+vi) and its translation to Δt = Δx/vave. The person is unsure if this is a valid way of finding delta t and later realizes they simply rearranged d = (vf+vi)/2 * t. The conversation also mentions that d = vavet is a helpful but often forgotten equation for constant acceleration.
  • #1
OneObstacle
6
0
I was looking back at some homework solutions I've solved earlier this term and I ran across this equation:

Δt = 2*Δx/(vf+vi)

Which seems to translate to:

Δt = Δx/vave

Is this an actual way of finding delta t? I got the answer right, but I can not understand or find where I got this equation.

EDIT: Can someone take this down? I found out I just rearranged d = (vf+vi)/2 * t
 
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  • #2
OneObstacle said:
I was looking back at some homework solutions I've solved earlier this term and I ran across this equation:

Δt = 2*Δx/(vf+vi)

Which seems to translate to:

Δt = Δx/vave

Is this an actual way of finding delta t? I got the answer right, but I can not understand or find where I got this equation.

EDIT: Can someone take this down? I found out I just rearranged d = (vf+vi)/2 * t

Yes, correct, d = vavet seems to be one of the most forgotten but helpful of the 5 motion equations for constant acceleration.
 

FAQ: Relating change in time to change in position and velocity

How are position and velocity related?

Position and velocity are related through the concept of change in time. As an object moves through space, its position changes over time. This change in position over time is what we call velocity. Essentially, velocity is the rate of change of an object's position.

How do we measure changes in position and velocity?

Changes in position and velocity can be measured using various tools and techniques, depending on the specific situation. For example, for a moving object, changes in position can be measured using a ruler or measuring tape, while changes in velocity can be calculated using formulas such as v = d/t (velocity equals distance divided by time).

What factors affect changes in position and velocity?

There are several factors that can affect changes in position and velocity. These include the force acting on the object, the mass of the object, and the presence of any external forces such as friction or air resistance. These factors can either increase or decrease the rate of change in position and velocity.

Can changes in position and velocity be predicted?

Yes, changes in position and velocity can be predicted using mathematical models and equations. These models take into account the initial position and velocity of the object, as well as any external factors that may affect its motion. By accurately predicting changes in position and velocity, scientists can make informed decisions and predictions about the future behavior of objects.

How does understanding changes in position and velocity benefit us?

Understanding changes in position and velocity is crucial in a wide range of fields, from physics and engineering to astronomy and biology. By understanding these concepts, we can better understand the behavior of objects and systems, make accurate predictions and calculations, and develop new technologies and advancements that benefit society.

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