- #1

courtrigrad

- 1,236

- 2

I would say the rotation of the earth. Would there be anything else? A particle is something in which rotational and vibrational considerations are disregarded. What would be a vibrational consideration?

************************************************

2. Average speed can mean the magnitude of the average velocity vector. Another meaning given to it is that average speed is the total length of path traveled divided by the elapsed time. Are these meanings different? If so, give an example.

So the average velocity vector is [itex] \overline v = \frac{\Delta r}{\Delta t} [/itex] where [itex] \Delta r [/itex] is a displacement vector. So the magnitude of this vector disregards the direction. I am guessing that these meanings are different because of the words

**length**and

**displacement**. Any ideas?

************************************************

3. When the velocity is constant, does the average velocity over any time interval differ from the instantaneous velocity at any instant?

I am guessing yes…because it depends on the length of the time interval. The velocity will be the same for all points, but the average velocity will be different (but constant). Is this correct?

*************************************************

4. Is the average velocity of a particle moving along the x-axis [itex] \frac{1}{2}(v_{x}_{0} + v_{x}) [/itex] when the acceleration is not uniform?

I am guessing that the average velocity is not equal to the above expression because the curve of [itex] v_{x} [/itex] versus [itex] t [/itex] would not be a line. Is this correct?

*****************************************************

5. Does the speedometer on an automobile register speed as we defined it?

Speed is the absolute value of instantaneous velocity, or [itex] |\frac{dr}{dt}| [/itex]. So a speedometer doesn’t give the magnitude of the instantaneous velocity, it just gives ‘speed’ in miles per hour. Is this correct?

************************************************************************

6. (a) Can a body have zero velocity and still be accelerating? (b) Can a body have a constant speed and still have a varying velocity? (c) Can a body have a constant velocity and still have varying speed?

(a) I think a body can still be accelerating if it has zero velocity, because the velocity can still go up.

(b) Yes, because velocity has both direction and magnitude. So a body can have varying direction.

(c) No, because constant velocity assumes both a constant magnitude and direction.

Is this correct?

********************************************************

7. Can an object have an eastward velocity while experiencing a westward acceleration?

I am guessing that it cannot, because the acceleration vector is basically the slope of the velocity vector. So they have to point in the same direction. Is this correct?

*********************************************************

8. Can the direction of the velocity change when its acceleration is constant?

I am guessing yes, because direction does not directly affect magnitude? Is this correct?

****************************************************

9. If a particle is released from rest ([itex] v_{y}_{o} = 0 [/itex]) at [itex] y_{o} = 0 [/itex] at the time [itex] t = 0 [/itex]. The equation for constant acceleration says that it is at position y at two different times, namely [itex] \sqrt{\frac{2y}{a_{y}}} [/itex] and [itex] -\sqrt{\frac{2y}{a_{y}}} [/itex]. What is the meaning of the negative root in this equation?

This negative root is for positions that are negative (i.e. below the x-axis). Also how do they get these roots? IS it from the equation [itex] v_{y}^{2} = v_{y}_{o}^{2} + 2a_{y}y [/itex]?

******************************************************

10. What happens to our kinematic equations under the operation of time reversal, that is, replacing [itex] t [/itex] by -[itex] t [/itex]?

I am guessing that the objects would move the opposite way to our reference frame. Is this correct?

****************************************************************

11. If a ball is thrown up, and air resistance is taken into account, would the time the ball rises be longer or shorter than the time during which it falls?

Intuitively, I would say it would take longer for the ball to go up. But could it be the same time? Or even shorter?

***************************************************************

12. Can there be motion in two dimensions when there is acceleration in one dimension?

Yes because an object can move up at a constant rate, while accelerating along the x-axis. Not really sure about this one.

********************************************************

13. A man standing on the edge of a cliff at some height about the ground below throws one ball straight up with initial speed

*u*and throws another ball straight down with the same initial speed. Which ball, if either, has the larger speed when it hits the ground? Neglect air resistance.

I would say the one being thrown up because it is at a larger distance above the ground, thus its speed increased quadratically. IS this correct?

*********************************************************

14. What are the dimensions of an angle? Can a quantity have units without having dimension?

I am guessing the dimensions of an angle are circular distance traveled divided by time. I think a quantity has to have both a unit and dimension (i.e. scalar). Is this correct?

Thanks a lot for any feedback. I know this is long, but please bear with me.