Basic average acceleration confusion

In summary, the conversation discusses the confusion between two equations (v=u+at and v^2=u^2+ad) and how they give different answers despite the question stating either could be used. The conversation also mentions the known variables and the correct answer (3 m/s^-2) provided by one equation compared to the incorrect answer (6 m/s^-2) by the other equation. The conversation ends with the question of how to determine which equation is ideal for a given problem.
  • #1
seagull
1
0
Hi there,

I'm struggling to distinguish why the following two equations are giving distinct answers, when the question explicitly states either could be used:

v=u+at
v^2=u^2+ad

when
v=12 m/s
u=0 m/s
a (average acceleration)= the unknown variable
d=24 m
t=4s

Theoretically, the two should provide the same answer; however, only the former is providing the correct answer (3 m/s^-2), the latter is giving 6 m/s^-2 as the answer. If this is the case, how do I recognise which equation is ideal for the problem in question. If I'm making some clearly idiotic mathematical error, I'm sorry, haha!

Cheers!
 
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  • #2
seagull said:
v^2=u^2+ad
There is a factor of two missing here, it should be
$$v^{2}=u^{2}+2ad$$
 
  • Like
Likes PeterO

Related to Basic average acceleration confusion

What is basic average acceleration confusion?

Basic average acceleration confusion is a common misunderstanding of the concept of acceleration in physics. It occurs when individuals have difficulty understanding the difference between average acceleration and instantaneous acceleration.

How is average acceleration different from instantaneous acceleration?

Average acceleration is the average rate of change of velocity over a period of time, while instantaneous acceleration is the rate of change of velocity at a specific moment in time. Average acceleration takes into account the entire change in velocity over a period of time, while instantaneous acceleration only considers the change at a specific instant.

What causes basic average acceleration confusion?

Basic average acceleration confusion can be caused by a lack of understanding of the fundamental principles of acceleration, or by not differentiating between average and instantaneous values. It can also be due to misconceptions about how acceleration relates to velocity and change in position.

How can basic average acceleration confusion be avoided?

To avoid basic average acceleration confusion, it is important to have a clear understanding of the concepts of acceleration, velocity, and position. It can also be helpful to practice solving problems and working with equations that involve acceleration. Additionally, seeking clarification from a teacher or peer can also help in understanding the concept.

Why is it important to understand the difference between average and instantaneous acceleration?

Understanding the difference between average and instantaneous acceleration is crucial in accurately analyzing and describing the motion of objects. It allows for a more precise and comprehensive understanding of how an object's velocity changes over time, and how it is affected by various forces.

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