Calculating Final Velocity in Free Fall from Given Displacement and Acceleration

In summary, the riders on the Drop Zone start at rest and are dropped 27m before coming to a stop. Their initial velocity is 0 m/s and their final velocity can be found using the equation vf^2=vi^2+2(acceleration)(displacement). The final velocity is calculated to be 23 m/s, which means that they are moving at a speed of 23 m/s before they start slowing down. This may seem confusing since the final position is when they are on the ground, but it is important to remember that a velocity of 0 m/s means that they have come to a complete stop.
  • #1
Balsam
226
8

Homework Statement


The Drop Zone drops riders 27m from rest before slowingthem to a stop. How fast are they moving before they start slowing down?

vf=? vi=0, di=27m[up], df=om, displacement=27m[down], acceleration=9.8m/s^2[down] Air resistance is negligable

Homework Equations


vf^2=vi^2+2(acceleration)(displacement)

The Attempt at a Solution


I already figured this out and got the right answer(23 m/s), but in this question, the final velocity isn't 0m/s. That confuses me, because the final position is when they are on the ground- shouldn't the final velocity be 0m/s.
 
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  • #2
Balsam said:

Homework Statement


The Drop Zone drops riders 27m from rest before slowingthem to a stop. How fast are they moving before they start slowing down?

vf=? vi=0, di=27m[up], df=om, displacement=27m[down], acceleration=9.8m/s^2[down] Air resistance is negligable

Homework Equations


vf^2=vi^2+2(acceleration)(displacement)

The Attempt at a Solution


I already figured this out and got the right answer(23 m/s), but in this question, the final velocity isn't 0m/s. That confuses me, because the final position is when they are on the ground- shouldn't the final velocity be 0m/s.
Key word: How fast are they moving before they start slowing down? If the riders have a velocity of 0 m/s on the ground, they have come to a complete stop.
You can't move from A to B at 0 m/s.
 
  • #3
SteamKing said:
Key word: How fast are they moving before they start slowing down? If the riders have a velocity of 0 m/s on the ground, they have come to a complete stop.
You can't move from A to B at 0 m/s.
That makes sense. Thank you.
 

Related to Calculating Final Velocity in Free Fall from Given Displacement and Acceleration

1. What is free fall?

Free fall is the motion of an object under the influence of only gravity. This means that the object is not being pushed or pulled by any other forces.

2. How is free fall related to final velocity?

In free fall, an object's velocity increases as it falls because of the acceleration due to gravity. The final velocity is the velocity at which the object reaches when it stops accelerating and falls at a constant rate.

3. What is the acceleration due to gravity?

The acceleration due to gravity is a constant value of 9.8 meters per second squared (m/s²) near the Earth's surface. This means that an object in free fall will accelerate at a rate of 9.8 m/s² towards the ground.

4. How does the mass of an object affect its free fall and final velocity?

The mass of an object does not affect its free fall or final velocity. All objects, regardless of their mass, will fall at the same rate due to gravity. However, a heavier object will have a greater force of gravity acting on it, causing it to have a greater final velocity when it reaches the ground.

5. What is the difference between free fall and terminal velocity?

Free fall is when an object falls without any external forces acting on it, while terminal velocity is the maximum velocity that an object can reach while falling due to air resistance. Once an object reaches terminal velocity, its velocity remains constant because the force of air resistance is equal to the force of gravity.

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