Velocity & Acceleration: Exploring Real-Life Examples

In summary, the conversation discusses the relationship between velocity and acceleration of a particle. It explains that if the velocity is zero, the acceleration must also be zero. In the second part, various combinations of signs and values for velocity and acceleration are given, along with real-life examples for an automobile on a one-dimensional axis. It concludes with a question about whether acceleration must be zero when velocity is zero.
  • #1
mini_smurf13
1
0
1) If the velocity of a particcle is zero, can its acceleration be zero? Explain.

2) Consider the floowing combinations of signs and values for velocity and accleration of a particle with respect to a one-dimensional x axis.

Velocity | Acceleration
  1. + | +
  2. + | -
  3. + | 0
  4. - | +
  5. - | -
  6. - | 0
  7. 0 | +
  8. 0 | -

Describe what a particle is doing in each case, and give a real-life example for an automobile on an east-west one dimensional axis, with east considered the positive direction.​

I do not understand this at all! Please please please please help if you can with as much as you can. ANY help will be greatly appreciated because I have no idea what to do. :confused:
 
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  • #2
If the velocity of a particle is zero, it's acceleration must be zero. Backwards: if the acceleration of a particle is zero, it's velocity can either be zero or constant.
 
  • #3
Alright for question 2 in the first scenario the particle is traveling east and it's velocity is increasing as acceleration is positive. In the second the particle is once more traveling east but it's velocity is decreasing as acceleration is negative. In the third it is traveling east with constant velocity and fourth traveling west with increasing velocity.
Can you begin to get the idea? Hopefully that helps.
 
  • #4
BTW, must acceleration be zero when at that INSTANT the velocity is zero?
i think no, there can be acceleration when velocity is zero, but when the period of Zero Velocity stretchs for more that an "instant". then yes, acceleration must be zero.
 

Related to Velocity & Acceleration: Exploring Real-Life Examples

1. What is the difference between velocity and acceleration?

Velocity is a measure of an object's speed and direction, while acceleration is the rate of change of an object's velocity. In other words, velocity tells us how fast an object is moving, while acceleration tells us how much an object's velocity is changing.

2. Can you give an example of velocity in real life?

Yes, a car traveling at a constant speed of 60 miles per hour in a straight line has a velocity of 60 miles per hour in the forward direction. Another example could be a person running around a track in a circular motion with a constant speed of 10 miles per hour. Their velocity would be 10 miles per hour, but it would be changing in direction as they move around the track.

3. How is acceleration used in everyday life?

Acceleration is used in everyday life in many ways. For example, when you press down on the gas pedal in a car, you are increasing the car's acceleration, and when you press down on the brake, you are decreasing the car's acceleration. Acceleration is also important in sports, such as when a baseball player swings a bat to hit a ball, they are accelerating the bat to make contact with the ball.

4. How do you calculate velocity and acceleration?

To calculate velocity, you divide the distance an object travels by the time it takes to travel that distance. So, if an object travels 100 meters in 10 seconds, its velocity would be 10 meters per second (100 meters / 10 seconds = 10 m/s). To calculate acceleration, you divide the change in velocity by the time it takes to change that velocity. So, if an object's velocity changes from 10 m/s to 20 m/s in 5 seconds, its acceleration would be 2 m/s^2 (20 m/s - 10 m/s / 5 seconds = 2 m/s^2).

5. How do velocity and acceleration relate to each other?

Velocity and acceleration are closely related. Acceleration is the rate at which an object's velocity is changing, so when an object has a constant velocity, its acceleration is zero. However, when an object's velocity is changing, its acceleration is not zero. This means that if an object has a constant velocity, it has no acceleration, but if an object has no acceleration, it does not necessarily have a constant velocity.

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