Calculating Final Velocity of an Object Falling off a Cliff

In summary, it is not necessary to assume that the final velocity in both x and y directions is zero if it is not stated or asked for in a problem involving an object falling off a cliff. In fact, the final velocity will always be greater than the initial velocity due to acceleration. However, it can be assumed that the horizontal velocity remains constant.
  • #1
Chiralic
7
0

Homework Statement



If you have an object, say, falling off a cliff
and you have initial velocity (Vox) can you assume that its Vf would be zero in both x and y if it doesn't state or ask for a final velocity before impact?
eg) a car drives off a cliff and the site of impact is 32 m from the cliff, find Vo...can I assume Vf is 0?

thanks

Homework Equations





The Attempt at a Solution

 
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  • #2
I do not understand why this assumption would be necessary.

In the example of a car driving off a cliff, the solution can be found by finding the time it takes an object to fall the vertical distance of the cliff and then dividing the horizontal distance by that time. The final velocity does not come into play at all.

Chiralic said:

Homework Statement



If you have an object, say, falling off a cliff
and you have initial velocity (Vox) can you assume that its Vf would be zero in both x and y if it doesn't state or ask for a final velocity before impact?
eg) a car drives off a cliff and the site of impact is 32 m from the cliff, find Vo...can I assume Vf is 0?

thanks

Homework Equations


The Attempt at a Solution

 
Last edited:
  • #3
Chiralic said:
If you have an object, say, falling off a cliff
and you have initial velocity (Vox) can you assume that its Vf would be zero in both x and y if it doesn't state or ask for a final velocity before impact?
eg) a car drives off a cliff and the site of impact is 32 m from the cliff, find Vo...can I assume Vf is 0?
Why in the world would you assume that? Falling bodies accelerate. The final speed of a body falling off a cliff will always be greater than its initial speed--not zero!

What you can assume is that the horizontal speed of the falling body remains constant.
 
  • #4
if the final velocity is zero (which is just before the impact),
then there would be no impact!

do you mean something else by "vf" ??
 

Related to Calculating Final Velocity of an Object Falling off a Cliff

1. How is final velocity calculated for an object falling off a cliff?

The final velocity of an object falling off a cliff can be calculated using the equation Vf = Vi + gt, where Vf is the final velocity, Vi is the initial velocity (usually 0 for objects dropped from rest), g is the acceleration due to gravity (9.8 m/s^2), and t is the time elapsed. This equation assumes no air resistance.

2. Can the final velocity of an object falling off a cliff be negative?

Yes, the final velocity of an object falling off a cliff can be negative if it is falling downwards. This indicates that the object is moving in the opposite direction of the initial velocity, which is usually upwards.

3. How does the mass of an object affect its final velocity when falling off a cliff?

The mass of an object does not affect its final velocity when falling off a cliff. According to the equation Vf = Vi + gt, mass is not a factor in determining final velocity. This means that objects with different masses will reach the ground at the same final velocity.

4. Does the height of the cliff affect the final velocity of an object falling off it?

Yes, the height of the cliff does affect the final velocity of an object falling off it. The higher the cliff, the longer the object has to accelerate under the force of gravity, resulting in a higher final velocity. This can be seen in the equation Vf = Vi + gt, where t (time elapsed) increases with an increase in height.

5. How does air resistance impact the calculation of final velocity for an object falling off a cliff?

Air resistance can impact the calculation of final velocity for an object falling off a cliff by slowing down the object's acceleration. In the absence of air resistance, the object would experience a constant acceleration due to gravity. However, with air resistance, the object will experience a decreasing acceleration as it falls. This means that the final velocity calculated using the equation Vf = Vi + gt may not be entirely accurate.

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