Which object has the greatest final velocity?

In summary, all objects have the same mass and shape and are sliding down different types of ramps with no friction. The initial velocities and positions of all objects are equal. Object a is dropped straight down, object b slides down an angled ramp, and object c slides down a curved ramp. From the given information, we can determine that object c will have the greatest final velocity, as it is sliding down a curved ramp which allows it to accelerate more. Object a will have the smallest time interval until hitting the ground level since it is falling straight down with no horizontal motion. Object b will have the greatest acceleration since it is sliding down an angled ramp, which is steeper than the curved ramp of object c.
  • #1
jennyerickson
1
0
Every object has the same mass and shape etc.
Object a is dropped from the side of the ramp straight down
Object b slides down an angled ramp
Object c slides down a ramp that is curved


Facts
No friction
All objects sliding
All initial velocities are equal
All Intial positions are the same height

Which object has the greatest final velocity?
Which has the smallest time interval until hitting ground level?
Which has the greatest acceleration?
 
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  • #2
welcome to pf!

hi jenny! welcome to pf! :wink:

tell us what you think (with reasons), and then we'll comment :smile:
 
  • #3


Look up Brachistochrone
 

1. What is final velocity?

Final velocity is the speed and direction of an object at the end of its motion.

2. How is final velocity calculated?

Final velocity is calculated by adding the initial velocity (speed and direction at the beginning of motion) to the product of acceleration and time.

3. What factors affect the final velocity of an object?

The final velocity of an object can be affected by the initial velocity, acceleration, and the time taken for the object to reach its final velocity. Other factors include external forces such as friction and air resistance.

4. Can an object have a negative final velocity?

Yes, an object can have a negative final velocity. This means the object is moving in the opposite direction of its initial velocity. For example, if an object starts with an initial velocity of 10 m/s to the right and ends with a final velocity of -5 m/s to the left, its final velocity is negative.

5. How is final velocity different from average velocity?

Final velocity is the speed and direction at the end of an object's motion, while average velocity is the overall rate of change in position over a given time period. Average velocity takes into account the initial and final position of an object, while final velocity only considers the speed and direction at the end of motion.

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