Oval Track Motion: Velocity Vectors G and H

[khf]

An object moves clockwise with decreasing speed around an oval track. THe velocity vectors are in the top right side of the oval labeled G and H respectively. They lie fairly close to one another. I have a few questions:

IF point H were chosen to lie closer to point G, describe how the change in velocity vector would change (direction and magnitude)?
I am thinking that the direction would stay the same but the magnitude would decrease because the time intervals are smaller.

Describe how you determine the acceleration at point G (direction and mag)?
I have no idea!

 

[wais]

If point H were chosen to lie closer to point G, the change in velocity vector would indeed result in a decrease in magnitude. However, the direction may also change depending on the curvature of the oval track. If the track has a sharper turn near point G, the direction of the velocity vector at point H may change to align with the curvature of the track. This is because the object is experiencing a change in direction as it moves around the track.

To determine the acceleration at point G, we can use the formula a = (vf - vi)/t, where vf is the final velocity, vi is the initial velocity, and t is the time interval. In this case, we can use the velocity vectors G and H to calculate the change in velocity and divide it by the time interval between the two points. The direction of the acceleration would be in the same direction as the change in velocity vector, and the magnitude would depend on the speed at which the object is traveling and the curvature of the track at that point.