Acceleration When an Object is Slowing

In summary, when an object is slowing down, the direction of its acceleration is opposite to the direction of its initial velocity. This is the case for both positive and negative velocities, assuming one-dimensional motion. This means that if the initial velocity is eastward, the acceleration will be westward, and vice versa. The same holds true for the opposite scenario, where the object is speeding up and the acceleration and velocity have the same direction.
  • #1
Balsam
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Homework Statement


If an object is slowing down, does the acceleration automatically have an acceleration of the opposite direction as the initial velocity, even if the question says otherwise?

Ex. This is a problem from my textbook: A bus is moving at 22m/s[E] for 12s. Then, the bus driver slows doen at 1.2m/s^2 [E] until the bus stops. Determine the total displacement for the bus.

According to the question, the acceleration of the bus as it slows down is 1.2m/s^2[E]

Homework Equations


My question doesn't require an equation to answer.

The Attempt at a Solution


I looked at the solutions manual, and it uses an acceleration value of 1.2m/s^2[W], an acceleration of the same magnitude, but of opposite direction than the one given in the problem. Does this mean that you always change the direction of acceleration to be the opposite of the given acceleration in the question if an object is slowing down? Do you do the same if it's speeding up?
 
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  • #2
The problem statement was misleading in stating that the acceleration was 1.2 m/s2 [E]. The direction of the acceleration is westward as stated in the solutions.

All you need to remember is that the direction of the acceleration is opposite to the direction of the velocity when the object is slowing down. They have the same direction when speeding up. This assumes one-dimensional motion.
 
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  • #3
TSny said:
The problem statement was misleading in stating that the acceleration was 1.2 m/s2 [E]. The direction of the acceleration is westward as stated in the solutions.

All you need to remember is that the direction of the acceleration is opposite to the direction of the velocity when the object is slowing down. They have the same direction when speeding up. This assumes one-dimensional motion.
thank you
 

1. What is acceleration when an object is slowing?

Acceleration when an object is slowing is the rate at which the velocity of an object decreases. It is a measure of how quickly an object's speed is decreasing over time.

2. How is acceleration when an object is slowing calculated?

Acceleration when an object is slowing is calculated by dividing the change in velocity by the change in time. This can be represented by the formula a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

3. Is acceleration when an object is slowing always negative?

No, acceleration when an object is slowing can be either positive or negative depending on the direction of the object's motion. If the object is slowing down and moving in the same direction, the acceleration is negative. If the object is slowing down and moving in the opposite direction, the acceleration is positive.

4. What factors can affect acceleration when an object is slowing?

The main factors that can affect acceleration when an object is slowing are the initial velocity, the final velocity, and the time interval. Other factors that may influence acceleration include air resistance, surface friction, and the mass of the object.

5. How is acceleration when an object is slowing related to Newton's Second Law of Motion?

Acceleration when an object is slowing is directly related to Newton's Second Law of Motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This means that the greater the net force acting on an object, the greater its acceleration, and the greater its mass, the smaller its acceleration.

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