What is the height of the ledge from which the flowerpot fell?

In summary, the conversation discusses the equation needed to solve a problem involving a falling flowerpot. The equation d= v1(t)+1/2(a)(t) squared is derived and the concept of average velocity is brought up. The conversation then continues to discuss using two equations to solve for the unknown variable, the height from which the pot fell.
  • #1
Susanem7389
18
0
Having trouble with the equation to solve the problem.

A flowerpot falls from the ledge of an apartment building. A person in an apartment below, coincidentally in possession of a high-precision timing system, notices that it takes 0.20 seconds for the pot to fall past his 4.0 m high window. How far above he top of the window is the ledge from which the pot fell? ( Neglect any effects due to air resistance.)
 
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  • #2
What equation relates distance time and acceleration directly?
 
  • #3
d= v1(t)+1/2(a)(t) squared

d= ((v1+v2)/2) * t

is that correct?
 
  • #4
Where you get v2 from?

There is only 1 thing moving. That second equation is some kind of average. Most texts have the free fall equations in them already derived. The first one you have is what you need. Now just think about what the velocity means and you can get your distance.

http://en.wikipedia.org/wiki/Free-fall
 
  • #5
Susanem7389 said:
d= v1(t)+1/2(a)(t) squared

d= ((v1+v2)/2) * t

is that correct?

The first one is useful. So let's use it.

Can't you determine what the height is it fell from rest to the top of the window?

d = 1/2*g*t2

and then can't you also write another equation for when it passes the bottom of the window?

d + 4 = 1/2*g*(t + .2)2

Glory be. 2 equations and 2 unknowns. The answer can't be far away now.
 

1. What is free fall?

Free fall is a type of motion in which an object falls under the influence of gravity alone, without any other forces acting on it. This means that the object is accelerating towards the ground at a constant rate.

2. How does the free fall of a flower pot differ from other objects?

The free fall of a flower pot is no different from the free fall of any other object. In both cases, the object is accelerating towards the ground at a constant rate due to the force of gravity.

3. Can a flower pot experience free fall in a vacuum?

Yes, a flower pot can experience free fall in a vacuum. In the absence of air resistance, the flower pot will fall at the same rate as any other object under the influence of gravity alone.

4. What factors affect the free fall of a flower pot?

The only factor that affects the free fall of a flower pot is the force of gravity. This force is determined by the mass of the flower pot and the mass of the Earth.

5. How is the speed of a flower pot in free fall calculated?

The speed of a flower pot in free fall can be calculated using the formula v = gt, where v is the velocity, g is the acceleration due to gravity (9.8 m/s^2), and t is the time in seconds. This formula assumes that the flower pot is dropped from rest and there is no air resistance.

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