Questions about acceleration

1. Jun 12, 2009

bluejade

Is it possible for an object to be slowing down while the magnitude of acceleration increasing? And is it possible for an object to be speeding up while its acceleration is decreasing?

I am a bit confused about the meaning of increasing and decreasing acceleration. I mean what makes an acceleration increase and decrease? Can someone give me an example please?

2. Jun 12, 2009

belliott4488

Sure - all those things are possible. Keep in mind that "slowing down" or "speeding up" has to do only with the relative signs of the velocity and the acceleration - if they are opposite (say, velocity in the +x direction and acceleration in the -x direction), then the object will be slowing down, no matter whether the magnitude of the acceleration is constant or changing.

The simplest example might be what you do when you're driving your car. When you accelerate, you might push the accelerator pedal down to the floor at first, but then slowly let it come up as you get closer to your final speed - that's the magnitude of the acceleration decreasing as you speed up. Similarly, if you're braking, you might brake lightly at first, but then push hard on the brake pedal as you realize the guy in front of you just came to a stop - that's the magnitude of the acceleration increasing as you slow down.

Make sense?

3. Jun 20, 2009

DmytriE

Thanks for the great explanation! I was also having a hard time contemplating a situation. Also, what is the "physics" definition of acceleration? I've looked on webster's dictionary and websites of those nature but nothing that really define acceleration.

4. Jun 21, 2009

ninjadrummer8

The physics definition is basically the change in velocity divided by the change over time.

Distance = x
Velocity = v
acceleration = a

v = x/t
a = v/t

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