Acceleration of a body( negative velocity and speeding up)

In summary, the acceleration of an object moving in the opposite direction with a negative velocity and speeding up is negative. This is based on the law that acceleration is the rate at which an object changes its velocity. However, if the object is moving in the opposite direction and slowing down, the acceleration would be positive. It is important to understand both cases, as in some scenarios gravity can be considered a negative acceleration while in others it is a positive acceleration.
  • #1
Icy98
17
1

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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  • #2
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.
 
  • #3
So if the object is moving in opposite direction but it is slowing down, hence it has positive acceleration?
 
  • #4
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.
 
  • #5
Alright. Thank you very much[emoji5]️
 

Related to Acceleration of a body( negative velocity and speeding up)

1. What is acceleration?

Acceleration is the rate at which an object changes its velocity over time. It is measured in meters per second squared (m/s²).

2. How is acceleration calculated?

Acceleration can be calculated by dividing the change in velocity by the change in time. The formula for acceleration is a = (vf - vi) / t, where vf is the final velocity, vi is the initial velocity, and t is the time interval.

3. Can acceleration be negative?

Yes, acceleration can be both positive and negative. A positive acceleration means the object is speeding up, while a negative acceleration means the object is slowing down.

4. What is negative velocity and how does it affect acceleration?

Negative velocity refers to the direction of an object's motion. If an object has a negative velocity, it is moving in the opposite direction of a chosen positive direction. Negative velocity can affect acceleration by either increasing or decreasing it, depending on the direction of the acceleration and the object's velocity.

5. How does an object accelerate when it has a negative velocity and speeds up?

When an object has a negative velocity and speeds up, it means that the object is slowing down in the direction of its motion. This can be caused by an opposing force acting on the object, such as friction or air resistance. In this case, the acceleration will be negative, but the object will still be speeding up in the opposite direction of its negative velocity.

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