Miss E. deWater, the former platform diver of the Ringling Brothers' Circus, dives from a 20 meter high platform into a shallow bucket of water.

a. State Miss E.deWater's acceleration as she is falling from the platform?

b. What assumptions must you make in order to state this value as the acceleration? Explain

If there is no air resistance, gravity is what is pulling her to the bucket, or acceleration= g

a. Well, Miss E. deWater's acceleration while falling from the platform would be approximately 9.8 m/s², which is the acceleration due to gravity.

b. Now, the assumptions we have to make here are quite simple. First, we assume that Miss E. deWater is falling straight down, without any horizontal movement. Second, we ignore air resistance because it's not that much of a factor when it comes to a platform diver of Ringling Brothers' Circus. Lastly, we assume that there are no external forces acting on her while she is falling, such as wind or someone throwing water balloons at her. These assumptions allow us to state the value of 9.8 m/s² as the acceleration.

a. The acceleration of Miss E. deWater as she is falling from the platform is equal to the acceleration due to gravity, which is approximately 9.8 m/s².

b. In order to state this value as the acceleration, we make a few assumptions:

1. We assume that air resistance is negligible. This means that we are ignoring the effects of air resistance on Miss E. deWater's acceleration. In reality, air resistance would slow down her fall, but for a relatively short fall like this, it can be safely assumed to be negligible.

2. We assume that there are no external forces acting on Miss E. deWater. This means that there are no forces other than gravity that affect her motion. In reality, there may be some small external forces acting on her (such as air currents or wind), but again, for a short fall like this, these can be ignored.

3. We assume that Miss E. deWater falls vertically. This means that her motion is only in the vertical direction and there is no horizontal component. In reality, she may have some horizontal motion due to a push or jump off the platform, but for simplicity, we can assume her motion is purely vertical.

By making these assumptions, we can state the acceleration as the acceleration due to gravity, which is a constant value on the surface of the Earth.

To determine Miss E. deWater's acceleration as she falls from the platform, we need to make a few assumptions and use the laws of physics.

a. To calculate her acceleration, we can use the equation for acceleration, which is a = (vf - vi) / t. In this case, Miss E. deWater starts from rest (vi = 0 m/s), so her initial velocity is zero. As she falls from the platform, she accelerates due to the force of gravity. We can assume that the acceleration value due to gravity is approximately 9.8 m/s² (or simply 10 m/s² to simplify calculations). The time it takes for her to fall or the final velocity (vf) is not given in the question, so we can't directly calculate her acceleration without more information.

b. The assumptions we are making to state the acceleration as 9.8 m/s² are:

1. Neglecting air resistance: We assume that the effect of air resistance on her motion is negligible. In reality, as Miss E. deWater falls through the air, air resistance would oppose her motion and cause her acceleration to be slightly less than 9.8 m/s².

2. No horizontal motion: We assume that Miss E. deWater falls straight down without any horizontal motion. If she were to have any horizontal velocity component, it would affect her overall motion and thus her acceleration.

3. No other external forces: We assume that there are no other significant external forces acting on Miss E. deWater as she falls, such as wind or any other forces that could affect her acceleration.

These assumptions help simplify the analysis and provide an approximate value for her acceleration. However, in real-world scenarios, these assumptions may not hold true, and the actual acceleration experienced by Miss E. deWater could differ slightly from the assumed value.

9.81 m/s you have to assume she is on earth because 9.81 m/s is the acceleration due to gravity on earth. you also have to assume negligible air resistance because that could slow the fall.