Acceleration of a body( negative velocity and speeding up)

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SUMMARY

The acceleration of a body moving in the negative direction with negative velocity while speeding up is indeed negative acceleration. This conclusion is supported by the Physics Classroom notes, which clarify that both velocity and acceleration are negative in this scenario. Conversely, if the object is moving in the negative direction but slowing down, it experiences positive acceleration. Understanding these concepts is crucial, especially in problems involving gravitational forces, where the direction of acceleration can vary based on the chosen reference frame.

PREREQUISITES
  • Understanding of basic kinematics concepts
  • Familiarity with the definitions of velocity and acceleration
  • Knowledge of reference frames in physics
  • Experience with gravitational force problems
NEXT STEPS
  • Study the relationship between velocity and acceleration in one-dimensional motion
  • Learn about reference frames and their impact on acceleration direction
  • Explore gravitational acceleration and its effects in different contexts
  • Review kinematic equations for objects in motion
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding motion dynamics and acceleration concepts.

Icy98
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Homework Statement


What is the acceleration of a body which is moving in opposite direction(assuming negative velocity) and is speeding up?

Homework Equations


acceleration=the rate of which an object changes its velocity

The Attempt at a Solution


In my opinion, an object moves with a negative velocity and is speeding up can be regard as having negative acceleration. This is what I learn from the notes provided on Physics Classroom. Is this correct?
 
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Icy98 said:

Homework Statement


What is the acceleration of a body which is moving in opposite direction(assuming negative velocity) and is speeding up?

Homework Equations


acceleration=the rate of which an object changes its velocity

The Attempt at a Solution


In my opinion, an object moves with a negative velocity and is speeding up can be regard as having negative acceleration. This is what I learn from the notes provided on Physics Classroom. Is this correct?

Yes. In this scenario velocity and acceleration are both negative.

If the acceleration were positive, the object would slow down, stop instantaneously, then move with increasingly speed in the positive direction.
 
So if the object is moving in opposite direction but it is slowing down, hence it has positive acceleration?
 
Icy98 said:
So if the object is moving in opposite direction but it is slowing down, hence it has positive acceleration?

Best to say "negative" direction. Yes. That would be positive acceleration.

This is important because when you have problems involving gravity (or any force), you can take the positive direction to be upwards. In that case gravity is a negative acceleration. And, sometimes, you take downwards to be positive and gravity is a positive acceleration. So, you need to understand both cases.
 
Alright. Thank you very much[emoji5]️
 

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